Question

#bksb Statistics-Level 2 Probability Skill Check Page 8

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Luke takes part in a game of chance.
Bag One has 5 red balls and 9 blue balls.
Bag Two has 6 red balls and 7 blue balls.
Q
.
.
Bag One
9
14
5
14
Blue
Red
7
13
6
13
Bag Two
7
13
6
13
Blue
Red
Blue
Red
What is the probability of choosing 2 blue balls?

Answer 1

The probability of choosing 2 blue balls is calculated by adding the probability of choosing 1 blue ball from Bag One and 1 blue ball from Bag Two. The probability of choosing 1 blue ball from Bag One is 9/14 and the probability of choosing 1 blue ball from Bag Two is 7/13. Therefore, the probability of choosing 2 blue balls is (9/14) * (7/13) = 0.37