Question

When a red and a white flower reproduce, the chance of their offspring being a red flower is 25%. if five pairs of red and white flowers have offspring

what is the chance that exactly 2 of the flowers are red?
what is the chance that no more than 2 red flowers exist in the offspring?

Answer 1

P(2 red in 5 offspring) = 26.4%

P(no more than 2 red flowers) = 65.9%

Explanation:

P(red) = 25%

P(white) = 75%

P(2 red in 5 offspring) = 5C2 P(red)*P(red)*P(white)*P(white)*P(white)

= 10 * 0.25 * 0.25 * 0.75 * 0.75 * 0.75 = 26.4%

P(no more than 2 red flowers) = P(1 red in 5 offspring) + P(2 red in 5 offspring)

= 5C1 P(red)*P(white)^4 + 0.2637

= 5 * 0.25 * 0.75* 0.75 * 0.75 * 0.75 + 0.2637

= 0.6592 = 65.9%