Calculating Probability

Practice Questions

SAT Math › Calculating Probability

Questions
10
1

A jar contains 6 red marbles and 9 blue marbles. If Evelyn reaches into the jar and simultaneously draws two marbles at random, what is the probability that she will draw two marbles of the same color?

2

Jenny's cabinet contains 4 bags of tortilla chips, 4 bags of potato chips, and 5 bags of popcorn. Jenny reaches into the cabinet and draws a bag at random, places it on the counter, and returns to draw one more bag at random. What is the probability that she pulls out two bags of popcorn?

3

Emily keeps 12 different pairs of shoes (24 individual shoes in total) under her bed. If her dog drags out two shoes at random, what is the probability that he drags out a matching pair of shoes?

4

A mountain resort will hold its annual one-day snowboarding competition if it snows on either Saturday or Sunday, but if it does not snow at all it will not hold the event. If there is a 70% chance that it snows on any given day at the resort, what is the probability that the event will be held?

5

When throwing darts, Emma hits the bullseye target 10% of the time, lands in an even-numbered zone 30% of the time, lands in an odd-numbered zone 30% of the time, hits the unscored outer edge of the board 10% of the time, and misses the board completely 20% of the time. Which of the following reflects the probability that one of Emma's darts that does not miss the board completely is a dart that hits the bullseye target?

6

A basketball team’s current roster consists of guards and forwards. If 2 guards join and 1 forward leaves, what is the probability that a player chosen at random is a guard?

7

A jar contains green marbles and red marbles. If 2 green and 14 red marbles are added, which of the following expresses the probability of then selecting a green marble at random?

8

A jar contains 6 chocolate candies and 4 mint candies. If Ben reaches into the jar to draw and eat two candies at random, what is the probability that he eats two chocolate candies?

9

A bakery sells two types of cookies: chocolate chip and snickerdoodles. Lucky customers randomly get a bonus brownie with their purchase according to the following probabilities: 10% of chocolate chip cookies come with a bonus brownie, and 25% of snickerdoodles come with a bonus brownie. If the bakery sells four times as many chocolate chip cookies as they sell snickerdoodle cookies, what is the percent likelihood that a sale chosen at random came with a bonus brownie?

10

Table1

The incomplete table above summarizes the breakdown of 100 students sent from Buena High School to perform in a holiday parade. Of the girls sent to perform, twice as many are in the band as in the choir. Of the choir members sent to perform, there are twice as many girls as boys. If one of Buena High School’s student musicians is selected at random, what is the probability that it is a boy from the band?

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