SOLUTION: Forty moviegoers were surveyed as they left the movie theater. They were asked the rating of the movie they just say. The resulted are shown below. Movie Type Number G

Algebra ->  Probability-and-statistics -> SOLUTION: Forty moviegoers were surveyed as they left the movie theater. They were asked the rating of the movie they just say. The resulted are shown below. Movie Type Number G       Log On


   

Question 581990: Forty moviegoers were surveyed as they left the movie theater. They were asked the rating of the movie they just say. The resulted are shown below.
Movie Type Number
G 4
PG 12
PG13 15
R 9
If you randomly selected an individual from this group, what is the probability that the individual saw a movie that was rated PG? If you randomly selected an individual from this group, what is the probablity the the individual saw a movie that was rated something other than PG? Formula?
Found 2 solutions by stanbon, jim_thompson5910:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Forty moviegoers were surveyed as they left the movie theater. They were asked the rating of the movie they just say. The resulted are shown below.
Movie Type Number
G 4
PG 12
PG13 15
R 9
If you randomly selected an individual from this group, what is the probability that the individual saw a movie that was rated PG?
Ans: 12/40
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If you randomly selected an individual from this group, what is the probablity the the individual saw a movie that was rated something other than PG? Formula?
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Ans: 28/40
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The formula is P(event) = (# of ways to succeed)/(# of possible outcomes.
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Cheers,
Stan H.
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Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
P(selected PG viewer) = (# of PG viewers)/(# total)

P(selected PG viewer) = 12/(4+12+15+9)

P(selected PG viewer) = 12/40

P(selected PG viewer) = 3/10


So the probability that the individual saw a movie that was rated PG is 3/10

In decimal form, this probability is 0.3 (which is a 30% chance)

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P(selected non PG viewer) = 1 - P(selected PG viewer)

P(selected non PG viewer) = 1 - 3/10

P(selected non PG viewer) = 10/10 - 3/10

P(selected non PG viewer) = (10 - 3)/10

P(selected non PG viewer) = 7/10

So the probability the the individual saw a movie that was rated something other than PG is 7/10

In decimal form, this probability is 0.7 (which is a 70% chance)