Probability

A standard die is rolled. Find the probability that the number rolled is greater than 5. Express your answer as a fraction in lowest terms or a decimal rounded to the nearest millionth.

⅙

In the game of Sudoku, the correct answer is a 3×3 grid where each cell contains a unique single-character number. Find the probability that the number in a certain square is greater than 9.

0

Find the probability of obtaining exactly one head when flipping five coins. Express your answer as a fraction in lowest terms or a decimal rounded to the nearest millionth.

0.15625

Neil has 221 songs on a playlist. He's categorized them in the following manner: 44 jazz, 24 folk, 20 hip hop, 11 blues, 38 rap, 29 country, and 55 Latin American. If Neil begins listening to his playlist on shuffle, what is the probability that the first song played is a rap song? Express your answer as a fraction in lowest terms or a decimal rounded to the nearest millionth.

0.171946

What is the probability that a card drawn randomly from a standard deck of 52 cards is a four? Express your answer as a fraction in lowest terms or a decimal rounded to the nearest millionth.

1/13

A standard die is rolled. Find the probability that the number rolled is greater than 4. Express your answer as a fraction in lowest terms or a decimal rounded to the nearest millionth.

1/3

A recent survey showed that 91 adults out of a sample of 400 have high blood pressure. However, 105 of those studied reported being unwilling to change their diet. Based on this sample, if an adult is chosen at random, what is the probability that he or she is open to trying to eat more healthfully? Express your answer as a fraction in lowest terms or a decimal rounded to the nearest millionth.

59/80 = 0.7375

Which of the following statements is an example of empirical probability? Keith rolls five dice 50 times each day for 10 days and records the value of each roll to find the likelihood of rolling five dice of the same number in one roll.

Keith rolls five dice 50 times each day for 10 days and records the value of each roll to find the likelihood of rolling five dice of the same number in one roll.

Which of the following statements is an example of classical probability? Madison wants to know the likelihood that her freshman roommate is from her home state if 458 of the 2000 female students in the freshman class are from her home state.

Madison wants to know the likelihood that her freshman roommate is from her home state if 458 of the 2000 female students in the freshman class are from her home state.

When ordering a pizza, you have a choice of 2 types of crust: thin crust (T) or hand-tossed (H); a choice of 3 types of sauces: red (R), white (W), or barbeque (B); and a choice of 2 types of toppings: mushroom (M) or onions (O). If you are choosing only one of each, list the sample space in regard to the pizzas (combinations of crust, sauces, and toppings) you could pick from.

TRM, TRO, TWM, TWO, TBM, TBO, HRM, HRO, HWM, HWO, HBM, HBO