Question

We have three colored fair dies with faces labeled:

- (R)ed die: 1, 1, 2, 3, 3, 3

- (G)reen die: 1, 1, 1, 1, 2, 3

- (B)lue die:     1, 1, 2, 2, 3, 3

A random experiment involves the following two steps:

• Step 1: One ball is picked randomly from a bag that contains 11 (R)ed balls, 4 (G)reen balls, and 6 (B)lue balls.
• Step 2: Based on the color of the picked ball, the die with same color is tossed and the face on top is the outcome of the experiment.

Find the following:

1. Find Probability that the (B)lue die is picked,
2. Given that the (G)reen die is picked, find Probability that outcome of the experiment is 1,
3. Find probability that the outcome of the experiment is 1 ,
4. Given that the outcome of the experiment was 1, find Probability that the (G)reen die was picked,
5. Find Probability that the (B)lue die is picked and the outcome of the experiment is 1.

Write the answers in the space in the following form: (a) 0.654 (b) 0.765 (c) 0.432 (d) 0.123 (e) 0.345

Answer 1