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

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