Question

A planted seed has a 75% chance of growing into a healthy plant. 11 seeds are planted.

What is the probability that any 1 plant grows?

• 0
• 0.25
• 0.75
• (11 choose 1) * (0.75 ^ 1) * (0.25 ^ 10)
• (11 choose 10) * (0.75 ^ 10) * (0.25 ^ 1)

Answer 1

we have given , p= 0.75 ,n= 11

where ,plant growing into healthy plant(X) ~ binomial ( n= 11,p= 0.75)

we want ,

The probability that any 1 plant grows = P ( X =1 ) = (n choose x )*( p ^ x) *( (1-p)^(n-x))

=(11 choose 1)*(0.75 ^1)*(0.25^10)

= 0.00000786781

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Therefore correct answer is (11 choose 1)*(0.75 ^1)*(0.25^10)

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