Question

which of the following is not an example of a binomial distribution? a.) the probability of flipping a coin four times and never landing on heads. b.) the probability of a basketball player missing a free throw six times in nine attempts. c.) the probability of rolling a die five times and getting an even number or a prime number three times. d.) the probability of an archer hitting the bullseye four times in seven attempts.

Answer 1

Option (c) - the probability of rolling a die five times and getting an even number or a prime number three times - is not an example of a binomial distribution.

Step-by-step explanation:

A binomial distribution is a probability distribution that describes the number of successful outcomes in a fixed number of independent trials. In order to be considered a binomial distribution, the following conditions must be met:

1. There are only two possible outcomes, called success and failure, for each trial.
2. The trials are independent and repeated using identical conditions.

Based on these conditions, option (c) is not an example of a binomial distribution since the outcomes of rolling a die five times and getting an even number or a prime number are not independent.