if 2 out of 100 second graders are randomly selected, find the probability that they are both boys and like spring.

boys/spring 39

a. with replacement?

b. without replacement?

If the events are independent, the probability of both/all events occurring is determined by multiplying the probabilities of the individual events.

a. .39^2 = ?

b. .39 * (39-1)/(100-1) = ?

To find the probability that both randomly selected second graders are boys and like spring, we need to know the total number of second graders and the number of boys who like spring.

From the given information, we know that 2 out of 100 second graders are randomly selected. Let's assume there are N total second graders.

Now, we are given the probability that a second grader is a boy who likes spring is 39. This means that the number of boys who like spring out of N is 39.

To find the probability, we divide the number of boys who like spring by the total number of possible outcomes:

P(boys and like spring) = (Number of boys who like spring) / (Total number of second graders)

P(boys and like spring) = 39 / N

Note that we cannot determine the exact probability without knowing the total number of second graders. But if we have that information, we can determine the probability by calculating 39 divided by the total number of second graders (N).