Question

5. There are two boxes. Box A contains

Answer 1

Answer:

2/9

Explanation:

Box A has 6 Red and 4 Blue balls - Probability of getting a Red is 4/10 = 2/5

Box B has 4 Red and 8 Blue balls - Probability of getting a Red is 4/12 = 1/3

You roll a dice, Probability of getting less than 3 is 2/6 = 1/3

Probability of getting 3 or more is 4/6 = 2/3

So, the Probability of picking from Box B is when you roll 3 or more which is 2/3, and the probability of getting red from Box B is 1/3.

Combining together, 2/3*1/3 = 2/9.