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An integer is chosen between 1 and 100 what is the probability that it is divisible by 8

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, 1 True or false. Determine if the statements below are true or false, and explain your reasoning. If a fair coin is tossed many times and the last eight tosses are all heads, then the chance that the next toss will be heads is somewhat less than 50%. , The probability of getting a given value for the total on the dice may be calculated by taking the total number of ways that value can be produced and dividing it by the total number of distinguishable outcomes. So the probability of a 7 on the dice is 1/6 because it can be produced in 6 ways out of a total of 36 possible outcomes. , The product will be a multiple of 8 if n+1 is a multiple of 8. Number of multiples of 8 between 1 and 96 = 96/8 = 12. Thus, there are 12 favorable choices for n+1, implying that there are 12 more favorable choices for n. Total favorable choices for n = 48+12 = 60. Favorable choices/Total choices = 60/96 = 5/8. , Probability Exam Questions with Solutions by Henk Tijms1 December 15, 2013 This note gives a large number of exam problems for a first course in prob-ability. Fully worked-out solutions of these problems are also given, but of course you should first try to solve the problems on your own! c 2013 by Henk Tijms, Vrije University, Amsterdam. , An integer is chosen at random between 1 and 100. Find the probability that it is (i) divisible by 8 (ii) not divisible by 8 2:24 , The probability of getting a given value for the total on the dice may be calculated by taking the total number of ways that value can be produced and dividing it by the total number of distinguishable outcomes. So the probability of a 7 on the dice is 1/6 because it can be produced in 6 ways out of a total of 36 possible outcomes. , The number that is exactly halfway between 1/19 and 1/21 is A two-digit number, read from left to right, is 20% greater than the same . . . Three integer numbers yield the same answer whether they are added or . . . , Number 1 is not divisible by any greater number, 2, 3, 5 in particular. Thus it was not counted among the 733 composite numbers above. So, it is counted among the remaining 266 and, not being a prime, among the last group of 101 numbers. These are the numbers that are not divisible by either 2, 3, or 5, which trivially includes 1. , A box contains 25 cards numbered from 1 to 25. A card is drawn at random from the bag. Find the probability that the number on the drawn card is (i) divisible by 2 or 3, (ii) a prime number. , Oct 27, 2012 · 28. Find the probability of selecting a number greater than 1000. 29. Find the probability of selecting a number divisible by 1000. 30. Find the probability of selecting a number that is not divisible by 1000. Probability Experiment In Exercises 31—34, a probability experiment consists of rolling a six-sided die and spinning the spinner shown. , Thus, if we want to calculate the probability of drawing an ace from a standard deck of playing cards, we can divide the number of outcomes in the event where an ace is drawn (4) by the total number of possible outcomes where any card is drawn (52). The probability is then 1/13. , Cards numbered 1 to 30 are put in a bag. A card is drawn at random from this bag. Find the probability that the number on the drawn card is, (i) Not divisible by 3 (ii) A prime number greater than 7 (iii) Not a perfect square number. , , Apr 08, 2015 · 1. When I swing at a nail, I drive it all the way in with probability 1/2. With probability 1/4, I hit it half-way in, and with 1/4 probability I miss it entirely. Hitting it half-way in twice will drive it all of the way in. I'm pretty sure that if read more ..
Dec 19, 2012 · P(A OR not A) = 1. Having a probability of 1 means guaranteed certainty. Obviously, for a variety of deep logical reasons, the events “A” and “not A” are disjoint and have no overlap. The OR rule, discussed in the last post, implies: P(A) + P(not A) = 1. Subtract the first term to isolate P(not A). P(not A) = 1 – P(A)
Clarifications. Generally there are N numbers from 1..N, not just 1..100.; I'm not looking for the obvious set-based solution, e.g. using a bit set, encoding the presence/absence each number by the value of a designated bit, therefore using O(N) bits in additional space.
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  • What is distance between the two stations. 1. 300 2. 310 3. 320 4. 305. Answer: 1. Question 11: The average between a two digit number and the number obtained by interchanging the digits is 9. What is the difference between the two digits of the number? 1. 8 2. 2 3. 5 4. Cannot be determined. Answer: 4.
  • May 26, 2009 · i need some serious help in my math. please don't just give answers but explain as well. here's the question: Let an integer be chosen at random from the integers 1 to 30 inclusive. Find the probability that the integer chosen is divisible by 4 or is greater than 25 and less than 30.
  • What is the probability that it is a non-defective bulb? Q18. 17 cards numbered 1,2,3…,17 are put in a box and mixed thoroughly. One person draws a card from the box. Find the probability that the number on the card is: (i) odd ii) a prime (iii) divisible by 3 (iv) divisible by 3 and 2 both Q19. A bag contains 5 red balls, 8 white balls, 4 ...
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  • Q. Find the probability that a randomly chosen point in the figure lies in the shaded region. ... Find the theoretical probability of picking a number divisible by 5 ...
  • *By Theorem 9.1.1 the total number of integers from 100 through 999 is 999 − 100 + 1 = 900. By part (a), 180 of these are divisible by 5. Hence the probability that a randomly chosen three-digit integer is divisible by 5 is 180/900 = 1/5.
  • 13.1.8 Random Variable and its Probability Distribution ... is chosen, i.e., 4 boys are chosen. Then 8 4 12 4 C 70 14 ... If X denotes the number of red ball drawn ...
  • An integer is divisible by 4 iff m = 4n where n is an integer. And 400 >= m >= 1 Therefore 400 >= 4n >= 1 Divide the equation by 4 and round. 100 >= n >;= (1/4) 1 / 4 > 0, so round up.
  • A bag contains 16 cards bearing number 1, 2, 3,…, 16 respectively. One card is chosen at random. One card is chosen at random. What is the probability that the chosen card bears a number which is divisible by 3?
  • Jul 18, 2019 · A and B are two numbers which define a range, where A <= B. Find the total numbers in the given range [A … B] divisible by 'M' Examples: Input : A = 25, B = 100, M = 30 Output : 3 Explanation : In the given range [25 - 100], 30, 60 and 90 are divisible by 30 Input : A = 6, B = 15, M = 3 Output : 4 Explanation : In the given range [6 - 15], 6, 9, 12 and 15 are divisible by 3
  • Dec 09, 2011 · What is the probability that a randomly selected integer chosen from the 1 st 100 positive integer is odd? x. What is the probability that the sum of the number on two dice is even then they are rolled? x. What is the probability that a fair die never comes up even when it is rolled 6 times? x.
  • Total number is 98 divisible by 8 are 8,16,24,32,40,48,56,64,72,80,88,96 so 12 numbers are divisible so probability of divisible numbers=12/98=6/49
  • A box contains 19 balls bearing numbers 1, 2, 3, ..., 19 respectively. A ball is drawn at random from the box. Find the probability that the number on the ball is (i) a prime number (ii) an even number (iii) a number divisible by 3.
  • Jan 24, 2008 · As it turns out, people's "type" can be closely modeled as a Poisson distribution with λ = 1.5. As such, most people are of types 0, 1, or 2. For this game, if you look at real world data sets for how many people chose each number, there tend to be 3 large spikes: one around 50, one around 33, and one around 22, with the largest being around 33.
  • Dec 21, 2019 · ) Find the probability of getting an event number on the first die or a total of 8 in a single throw of two dice. 5/9) A die is thrown twice. What is the probability that atleast one of the two throws comes up with the number 4 ? 11/36) One number is chosen from numbers 1 to 2000. Find the probability that it is a) divisible by 4 or 6 ?
  • Life is a school of probability. 1. An integer is chosen at random from the first two hundreds digit. What is the probability that the integer chosen is divisible by 6 or 8. (Ans : 4 1) Ans: Multiples of 6 first 200 integers 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72, 78, 84, 90, 96, 102, 108, 114,
  • 2. A whole number between 1 and 30 is chosen at random. What is the probability it is divisible by 3? 3. A whole number between 1 and 30 is chosen at random. What it the probability that is it is divisible by 3 and 7? 4. A whole number between 1 and 30 is chosen at random. What it the probability that is it is divisible by 3 given that it is ...
  • Find the probability of pulling a yellow marble from a bag with 3 yellow, 2 red, 2 green, and 1 blue-- I'm assuming-- marbles. So they say the probability-- I'll just say p for probability. The probability of picking a yellow marble. And so this is sometimes the event in question, right over here, is picking the yellow marble.
  • Dec 23, 2018 · For the game above, you have a 5/6 probability of winning nothing. The value of this outcome is -2 since you spent $2 to play the game. A six has a 1/6 probability of showing up, and this value has an outcome of 8. Why 8 and not 10? Again we need to account for the $2 we paid to play, and 10 - 2 = 8.
  • An integer n between 1 and 99, inclusive, is to be chosen at random. what is the probability that n(n + 1) will be divisible by 3 ? An integer is chosen at random between 1 and 100 .Find the probability that it is (i) divisible by 8 (ii) not divisible by 8