Question

Two chips are taken out of a bag at random (one chip at a time) and without replacement (without replacement means that if you take a chip out of the bag, you leave it outside of the bag!). The bag originally contains two red chips and two blue chips. a. Given that the first chip is red, what is the probability that the second chip is blue? a. What is the probability that both chips are blue? b. What is the probability that the first chip is red and the second chip is blue? c. Would these results change if the two chips were taken out with replacement

Answer 1

Answer:

Step-by-step explanation:

Sample Space S={2R,2B} i.e n(S)=4

Given That 1st Chip Is Red New Sample Space Is S1={1R,2B} i.e n(S1)=3

Probability That Second Chip Is Blue Is=2/3

(a)Both Chips Blue=2/4*1/3=2/12=1/6 i.e 16.6%

(b)1st Chip Red And Second Chip Blue:1/2*2/3=1/3 i.e 33.3%

Yes These Result Would Change If The Two Chips Would Take Out With Replacement