100k views
2 votes
There are black, blue, and white marbles in a bag. The probability of choosing a black marble is 0.36. The probability of choosing a black and then a white marble is 0.27. To the nearest hundredth, what is the probability of the second marble being white if the first marble chosen is black?

a) 0.27
b) 0.39
c) 0.75
d) 0.86

User Allethrin
by
8.4k points

1 Answer

3 votes

Answer: c) 0.75

Explanation:

Given : The probability of choosing a black marble is P(Black)= 0.36.

The probability of choosing a black and then a white marble is P( Black and white) = 0.27.

Then by conditional probability ,

The probability of the second marble being white if the first marble chosen is black =
P(\text{white }|\text{Black})=\frac{\text{P( Black and white)}}{\text{P(Black}}


=(0.27)/(0.36)=(27)/(36)=0.75

Therefore , the probability of the second marble being white if the first marble chosen is black = 0.75

User Rain Man
by
8.5k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories