Question

What is the probability of drawing yellow marble followed by a red marble from a bag containing 12 yellow marbles, 14 red marbles, and 15 green marbles if the first marble is not replaced?

Answer 1

The probability of drawing both without replacing either is :

14/41 * 12/40 = 7/41 * 3/5 = 21/205

The probability of drawing both WITH replacement is:
14/41 * 12/41 = 168/ 1681

there you have it :D

Answer 2

21/205

Explanation:

Bag contains 12 yellow marbles, 14 red marbles, and 15 green marbles.

Total marbles=12+14+15

= 41

P(drawing a yellow marble)

=number of yellow marbles/total number of marbles

= 12/41

P(drawing a red marble after the yellow one without replacing it)

= number of red marbles left/number of total marbles left

= 14/40

P(drawing yellow marble followed by a red marble without replacement)

=
`(12)/(41)* (14)/(40)`

=21/205