Question

Assume that in your hand you hold an ordinary six-sided die and a dime. you toss both the die and the dime on a table.

a. what is the probability that a head appears on the dime and a six on the die?
b. what is the probability that a tail appears on the dime and any number more than 3 on the die?
c. what is the probability that a number larger than 2 appears on the die?

Answer 1

a. The probability is 1/12. b. The probability is 1/4. c. The probability is 4/6.

Step-by-step explanation:

a. The probability of getting a head on the dime and a six on the die can be calculated by multiplying the probability of getting a head (1/2) with the probability of rolling a six (1/6). Therefore, the probability is (1/2) x (1/6) = 1/12.

b. The probability of getting a tail on the dime and a number more than 3 on the die can be calculated by multiplying the probability of getting a tail (1/2) with the probability of rolling a number more than 3 (3/6). Therefore, the probability is (1/2) x (3/6) = 1/4.

c. The probability of rolling a number larger than 2 on the die can be calculated by subtracting the probability of rolling a 1 or a 2 (2/6) from 1. Therefore, the probability is 1 - (2/6) = 4/6.