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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