If a cat has 5 kittens, what is the probability that all 5 will be female?
50%
no,
it is (1/2)^5
= 1/32
each kitten has a prob of being female of 50% or 1/2, but there are 5 kittens
so it is 1/2 * 1/2 * 1/2 * 1/2 * 1/2
To calculate the probability that all 5 kittens will be female, we need to consider the probability of each individual kitten being female.
Assuming that the probability of a kitten being female is 0.5 (assuming an equal chance of male or female offspring), we can calculate the probability as follows:
Probability of a single kitten being female = 0.5
Since there are 5 kittens, and the probability of each being female is independent, we multiply the probabilities together:
Probability of all 5 kittens being female = (0.5)*(0.5)*(0.5)*(0.5)*(0.5) = 0.03125
Therefore, the probability that all 5 kittens will be female is 0.03125, or approximately 3.13%.
To calculate the probability of all 5 kittens being female, we need to know the total number of possible outcomes (the number of different combinations of male and female kittens) and the number of favorable outcomes (where all 5 kittens are female).
Let's assume that the probability of a cat giving birth to a male or a female kitten is equal, which means 50% for each gender. In that case, for each kitten, there are two equally likely possibilities: male or female.
To calculate the total number of possible outcomes, we raise 2 (the number of possibilities for each kitten) to the power of 5 (the number of kittens):
Total number of outcomes = 2^5 = 32
Now we need to determine the number of favorable outcomes, which is when all 5 kittens are female. In this case, there is only one favorable outcome.
Probability = Number of favorable outcomes / Total number of outcomes = 1 / 32
Therefore, the probability that all 5 kittens will be female is 1/32, or approximately 0.03125 (3.125%).