Question

3. A bag of Jelly beans contains 12 red, 17 white and 14 black jelly beans.

a) if 5 jelly beans are chosen at random, determine the probability that all 5 will be red.

Answer 1

steps below

Explanation:

Total = 12+17+14 = 43

Without replacement:

C(12,5) / C(43,5) = (12!/5!*7!) / (43!/5!*38!) = (12*11*10*9*8) / (43*42*41*40*39)

= 95040 / 115511760

= 0.00082

≈ 0.082%

with replacement: 12/43*12/43*12/43*12/43*12/43 = 12⁵ / 43⁵