SAT Math : Data Analysis
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Example Question #147 : How To Find The Probability Of An Outcome
The above table shows how many people participated in a sport at a local gym. What is the probability that someone swam?
To figure out this probability, we will take the total number of people under swimming and divide by the total number of people.
Example Question #1 : How To Find The Probability Of An Outcome
You have a full deck of 52 cards. If there are four queens in the deck, what is the probability that out of two cards dealt to you both are queens?
0.0049
0.0052
0.0033
0.0045
0.0048
0.0045
Probability of each event = (# queens)/ Total # of cards
P1 = 4 / 52
Second event assumes a queen was chosen for first event so there is one less queen and also one less card:
P2 = 3 / 51
Probability for multiple events = P1 x P2
(4 / 52) * (3 / 51)
( 4 * 3) / (52 * 51 ) = 12 / 2652 = 0.0045
Example Question #3234 : Sat Mathematics
A lottery is being run at a high school to allocate parking spots. The school has 200 seniors, 300 juniors, 350 sophomores, and 450 freshmen. Each eligible senior will have their name entereted into the lottery twice, with all other eligible students' names being entered once. Only juniors and seniors will be eligible for parking spots. If there are 150 parking spots, what is the probability that any given junior will receive a spot?
1/100
2/7
3/5
4/9
3/14
3/14
Find the probabilty a junior's name will be pulled for a single lottery trial. Then calculate the probability given 150 lottery trials.
(200 seniors * 2 entries each) + 300 juniors = 700 entries
For any single junior then, the odds are 1/700 for a single lottery trial.
For 150 trials, a junior will have (1/700 * 150 trials) = 150/700, which simplifies to
3/14
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