The probability that a purchased flower bulb will sprout is 0.85.

The probability that a purchased flower bulb will sprout is 0.85. Find the probability that a flower bulb will not sprout out of 10 flower bulbs will sprout 8.

Probability that the flower bulb will sprout: p = 0.85.
The probability that the flower bulb will not germinate is q = 1 – p = 1 – 0.85 = 0.15.
The probability that 8 out of 10 bulbs will germinate is determined by the Bernoulli formula.
P10 (8) = C (10.8) p ^ 8 q ^ 2;
C (10.8) = 10! / (8! (10 – 8)!) = 9 10 / (1 2) = 45.
P10 (8) = 45 0.85 ^ 8 0.15 ^ 2 = 45 0.272 0.0225 = 0.276.
Answer: The probability that a flower bulb will not germinate is 0.15. The probability that 8 out of 10 will sprout is 0.276.