So I'm doing this math grade recovery for the Using Probability test here's one

At a race car rally, attendees can sit in the bleachers, balcony, or the grass the probability an attendee sitting in the bleachers is 1/4 the probability of an attendee sitting the balcony is 7/16 What is the probability that an attendee will sit in the grass

A) P(grass seat) = 3/4
B) P(grass seat 9/16
C) grass seat) = 5/16
D) P(grass seat 11/16)

Much appreciated

This is YOUR grade and YOUR grade recovery.

What do you think is the answer?

Pr(bleacher)+pr(balcony)+pr(grass)=1

solve for Pr(grass)

I think the answer is D @ms.sue

Yes, D.

D is wrong. Sorry.

16/16 - 11/16 = 5/16

To find the probability that an attendee will sit in the grass, we need to first determine the probabilities of sitting in the bleachers and the balcony. Let's call the probability of sitting in the bleachers "P(bleachers)" and the probability of sitting in the balcony "P(balcony)".

According to the problem, we are given that the probability of an attendee sitting in the bleachers is 1/4 the probability of sitting in the balcony. Mathematically, this can be expressed as:

P(bleachers) = 1/4 * P(balcony)

In addition, we are given that the probability of sitting in the balcony is 7/16. Therefore, we can substitute this value into the equation above:

P(bleachers) = 1/4 * 7/16

Next, we need to determine the probability of sitting in the grass, which we can call P(grass). Since the sum of the probabilities for all possible seating options must be equal to 1, we can write:

P(bleachers) + P(balcony) + P(grass) = 1

Now we can substitute the expressions for P(bleachers) and P(balcony) into the equation above to solve for P(grass):

1/4 * 7/16 + 7/16 + P(grass) = 1

Simplifying the equation gives:

7/64 + 7/16 + P(grass) = 1

To solve for P(grass), we subtract the known probabilities from both sides of the equation:

P(grass) = 1 - 7/64 - 7/16
P(grass) = 64/64 - 7/64 - 28/64
P(grass) = 29/64

So, the probability that an attendee will sit in the grass is 29/64. Therefore, the correct answer is probably C) P(grass seat) = 5/16.