Question

Find P(M) for the given sample space S and events M and N.

Options:
a) 1/2
b) 1/3
c) 2/5
d) 1/4

Answer 1

To find the probability that Felicity enrolls in math or speech classes, add the individual probabilities and subtract the probability of Felicity enrolling in both classes.

Step-by-step explanation:

b. To find the probability that Felicity enrolls in math or speech classes, you need to find the sum of the individual probabilities: P(M) + P(S) - P(M AND S).

c. To determine if events M and S are independent, you need to compare P(MS) and P(M). If they are equal, the events are independent.

d. To check if events M and S are mutually exclusive, you need to compare P(M AND S) with 0. If P(M AND S) = 0, the events are mutually exclusive.