What is the probability that in a litter of 5 kittens, all five kittens are female?
since the chance for any one is 1/2, then for 5 it is
(1/2)^5 = 1/32
To calculate the probability of all five kittens being female in a litter of 5, we need to consider two factors: the number of ways to have a litter with all females and the total number of possible outcomes.
The number of ways to have a litter with all females can be calculated using the concept of independent events. Since the gender of each kitten is independent of the others, the probability of each kitten being female is 0.5 (assuming an equal chance of a male or female). So, the number of ways to have all five kittens as females is 0.5 raised to the power of 5 (0.5^5).
The total number of possible outcomes for a litter of 5 kittens is determined by the possible genders for each kitten. Each kitten has two possibilities, male or female, resulting in 2^5 total outcomes.
Therefore, the probability of having all five kittens as females is (0.5^5) / (2^5). Simplifying this expression gives us the final answer.