The probability of rain on any given day is 2/3 . what is the probability of at most one day of rain during the next three days?

7/27 ≈ 25.9%

Step-by-step explanation:

"At most one" means either exactly 0 or exactly 1.

P(at most 1) = P(0) + P(1)

Using binomial probability:

P(r) = nCr pʳ qⁿ⁻ʳ

P(0) = ₃C₀ (⅔)⁰ (⅓)³⁻⁰ = 1/27

P(1) = ₃C₁ (⅔)¹ (⅓)³⁻¹ = 2/9

So the probability that it rains on at most one day is:

P(at most 1) = 1/27 + 2/9

P(at most 1) = 7/27

P(at most 1) ≈ 0.259

answer: the answer is (b) amie should have multiplied

step-by-step explanation: given a sphere and a cylinder with same radius and height.

let, 'r' be the radius of the cylinder and sphere and 'h' be the height of the cylinder. according to the question,

r = h.

now, the volume of the sphere will be

and the volume of the cylinder will be

therefore, we have

thus, ammie should have multiplied the volume of the sphere