The probability that a flower from a certain pack of seeds b

The probability that a flower from a certain pack of seeds blossoms is 0.7. What is the probability that at least 3 of 5 randomly chosen seeds from the packet blossom? Show work.

Solution

Solution:

The probability that a flower from a certain pack of seeds blossoms is 0.7

p = 0.7

The probability that a flower from a certain pack of seeds is not blossoms is = 0.3

q= 0.3

the probability that at least 3 of 5 randomly chosen seeds from the packet blossom

here n = 5

therefore 3 , 4 and 5 are the possible selection

the required probability = 10 (0.7)³ (0.3)² + 15 (0.7)⁴(0.3)¹ +1 (0.7)⁵(0.3)⁰

= 0.83692

= 83.7 %

Answer: 0.83692 or 83.7 %