If seven seeds are planted, find the probability of having exactly six seeds germinate

Answer: P (6/7G) = 729⁄16384 = 0.044

The probability of having exactly six seeds germinate is 0.044

Complete Question:

A certain seed has 75% germination rate. Of seven seeds are planted, find the probability of having exactly six seeds germinate.

Step-by-step explanation:

The probability that a seed will germinate is

P (G) = 0.75

The probability that a seed will not germinate is

P (G') = 1-0.75 = 0.25

Therefore the probability that only 6 will germinate can be written as;

P (6/7G) = the probability that 6 seed germinate * the probability that one seed will not geminate

P (6/7G) = [ P (G) ]^6 * [ P (G') ]

P (6/7G) = 0.75^6 * 0.25

P (6/7G) = 729⁄16384 = 0.044