SAT Math : Data Analysis
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Example Questions
Example Question #161 : Data Analysis
What is the probability that two dice rolled will add up to 5?
There are 6 probabilities for each dice and there are 2 dice. So, you would multiply the individual probabilities together and get 36 possible outcomes.
In order for 2 dice to add to a sum of 5, you would need to roll:
1 4; 2 3; 3 2; 4 1 [each dice can roll as either number]
That is a total of 4 outcomes
Example Question #3133 : Sat Mathematics
A bag containing only red, green and blue marbles has 10 red, 20 green, and 20 blue marbles. If Laura reaches in and removes a single marble at random, what is the probability she draws a green marble?
Probability = the number of desired outcomes divided by the number of total possible outsomes. 20 marbles are green out of a total of 50. Therefore:
Example Question #41 : Probability
A deck of 52 cards is divided equally into four suits: hearts, diamonds, clubs and spades, and two cards are drawn at random. The first card drawn is a heart. What is the probability that the second card drawn is also a heart?
There are 13 hearts in the deck of 52 cards. The first card is already assumed to be a heart, but by removing it the numbers change. When drawing the second card, there are now 12 hearts out of 51 total cards.
Example Question #3134 : Sat Mathematics
A game is played where players take turns rolling two six-sided dice, each with sides numbered 1-6. The numbers on the two dice are added together for each player's score. If the first player rolls a sum of 10, what is the probability that the second player rolls a HIGHER total?
A roll of two 6-sided dice yields 36 total possible outcomes 
5, 6
6, 5
6, 6
Example Question #211 : Data Analysis
10 cards, each with a distinct number from 1-10, are placed face-down on a table. If Matt chooses a card at random, what is the probability his card will display a prime number?
Total outcomes: 10
Desired outcomes (prime numbers) = 4 (2, 3, 5, 7)
Example Question #53 : Probability
A coin with two sides, heads and tails, is flipped repeatedly and the result recorded. Assuming an equal chance of it landing either way, what is the probability of each of the first four flips being heads?
Example Question #54 : Probability
A coin with two sides, heads and tails, is flipped 10 times and the results recorded. What is the probability that the 10th flip results in tails?
Example Question #54 : Probability
A dresser drawer contains only 4 blue socks, 6 white socks, and 2 red socks. If two socks are pulled from the drawer at random, what is the probability that they are both white?
For this question to be satsified, both socks drawn must be white.
First draw: 6 white socks out of 12 total:
Second draw: 5 white socks out of 11 total:
Multiply together to find the answer:
Example Question #51 : Probability
In a hotel with 120 rooms, 30 of them have red carpet. A hotel manager has lost his keys somewhere in the hotel. If there is an equal chance of the keys being in any room, what is the probability that they are in a room with red carpet?
Probability = desired outcomes divided by total possible outcomes
Example Question #61 : How To Find The Probability Of An Outcome
A bag contains the following numbers of apples: 12 red delicious, 10 granny smith, and 7 fuji apples. If an apple is selected at random, what is the probability it is either a granny smith or a fuji apple?
Probability = desired outcomes divided by total possible outcomes. Desired outcome can be either fuji or granny smith.
Desired outcomes
Total outcomes
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