Question

G and h are mutually exclusive events. What is the probability of event g? What is the probability of event h?

1) 0.5, 0.3
2) 0.3, 0.5
3) 0.5, 0.7
4) 0.7, 0.5

Answer 1

Event g has a probability of 0.5, while event h has a probability of 0.3.

Step-by-step explanation:

In a set of mutually exclusive events, the probability of one event occurring is zero when the other event occurs. Therefore, if g and h are mutually exclusive, it means that if event g happens, event h cannot happen, and vice versa.

The probabilities given for event g and h are P(g) = 0.5 and P(h) = 0.3.

Answer 2

The correct answer is 3) P(G)=0.5, P(H)=0.7 because the probabilities of mutually exclusive events must add up to 1.

This correct answer is 3)

Step-by-step explanation:

If events G and H are mutually exclusive, it means that they cannot occur at the same time. In other words, if event G occurs, then event H cannot occur, and vice versa.

The probabilities of mutually exclusive events add up to 1.

So, if P(G) is the probability of event G and P(H) is the probability of event H, then:

P(G)+P(H)=1

Now, let's look at the given options:

P(G)=0.5 and

P(H)=0.3

0.5+0.3=0.8 (which is not equal to 1)

P(G)=0.3 and P(H)=0.5

0.3+0.5=0.8 (which is not equal to 1)

P(G)=0.5 and P(H)=0.7

0.5+0.7=1 (correct)

P(G)=0.7 and P(H)=0.5

0.7+0.5=1.2 (which is not equal to 1)

Therefore, the correct answer is option 3:

P(G)=0.5 and P(H)=0.7.

This correct answer is 3)