your cat is expecting a litter of kitten.suppose the probability of a male kitten is 1/2.what is the probabilty that a litter of five kittens contain all male kittens
To find the probability that a litter of five kittens contains all male kittens, we need to consider the probability of each individual kitten being male, and then multiply those probabilities together since the events are independent.
Since we know the probability of a single kitten being male is 1/2, the probability of all five kittens being male can be calculated as follows:
Probability of a male kitten = 1/2
Probability of all five kittens being male = (1/2) x (1/2) x (1/2) x (1/2) x (1/2)
Simplifying, we have:
Probability of all five kittens being male = (1/2)^5
Therefore, the probability of a litter of five kittens containing all male kittens is 1/32 or approximately 0.03125.