Question

The probability that a household owns a pet is 0.55. suppose there are 5 houses on a block. assuming each household is independent, what is the probability that all five households will have pets?

Answer 1

Probability of that all five households will have pets is 0.05.

What is the  probability of that all five households will have pets given that the probability that a household owns a pet is 0.55?

The probability of that all five households will have pets is calculated as follows:

Probability that a household owns a pet, p = 0.55

Probability that a household does not own a pet, q = 1 - 0.55 = 0.45

Probability of that all five households will have pets = ₅C₅ * 0.55⁵ * 0.45⁽⁵⁻⁵⁾

Probability of that all five households will have pets = 0.05

In conclusion, the probability that all five households have pets is determined by combination probability.

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