Question

This bag contains 3 red marbles, 5 blue marbles, and 2 green marbles. Marbles are drawn twice, with replacement. Find the probability of each compound event. Both red.

a) (9/100)
b) (6/25)
c) (9/64)
d) (1/16)

Answer 1

The probability of drawing both red marbles is (9/100).

Step-by-step explanation:

To find the probability of drawing both red marbles, we need to find the probability of drawing a red marble on the first draw and a red marble on the second draw.

There are 3 red marbles out of a total of 10 marbles in the bag. So, the probability of drawing a red marble on the first draw is 3/10.

Since there is replacement, the probability of drawing another red marble on the second draw is also 3/10.

Therefore, the probability of both events happening is (3/10) × (3/10) = (9/100).