Question

A bag contains 4 white, 2 blue, and 6 red marbles. A marble is drawn from the bag, replaced, and another marble is drawn. Find the following

probabilities:
Enter your answers a simplified fractions, with / representing the fraction bar
1. both marbles are red
2. both marbles are blue
3. the first marble is red and the second is blue
other is red

Answer 1

Explanation:

Total marble = 6+4+2 = 12

n(W) = 4

n(B) = 2

n(R) = 6

P(W) = 4/12 = 1/3

P(B) = 2/12 = 1/6

P(R) = 6/12 = 1/2

1. P(R and R) = 1/2 × 1/2 = 1/4

2. P(B and B) = 1/6 × 1/6 = 1/36

3. P(R and (B or R) = 1/6 × (1/6+1/2)

= 1/6 × (2/3)

= 1/9