A bowl contains 10 chips each with a different number from 1-10 written on the chip. Use this information to find the following. a) If one chip is selected at random, what is the probability that it is prime (2,3,5,7) ? b) If two chips are selected at random in succession, what is the probability that both are prime numbered if the first chip is replaced in the bowl? c) If two chips are selected at random in succession, what is the probability that both are prime numbered if the first chip is not replaced in the bowl?
A bowl contains 10 chips each with a different number from 1-10 written on the chip. Use this information to find the following. a) If one chip is selected at random, what is the probability that it is prime (2,3,5,7) ? b) If two chips are selected at random in succession, what is the probability that both are prime numbered if the first chip is replaced in the bowl? c) If two chips are selected at random in succession, what is the probability that both are prime numbered if the first chip is not replaced in the bowl?
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
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A bowl contains 10 chips each with a different number from 1-10 written on the chip. Use this information to find the following.
a) If one chip is selected at random, what is the probability that it is prime (2,3,5,7) ?
b) If two chips are selected at random in succession, what is the probability that both are prime numbered if the first chip is replaced in the bowl?
c) If two chips are selected at random in succession, what is the probability that both are prime numbered if the first chip is not replaced in the bowl?
d)If two chips are selected at random in succession, what is the probability that the first is prime numbered or the second is prime numbered if the first chip is replaced in the bowl?
e) If three chips are selected at random with all put back in the bowl, what is the probability that none of them have a prime number written on them?
f) If three chips are selected at random from the bowl, what is the probability that at least one chip is prime numbered if all chips are put back in the bowl before the next is drawn?
g) If a chip is randomly selected, what is the probability that it is odd numbered given that it is prime numbered.
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