Question

Which of the following pairs of events are independent? Select all correct answers.

1 - You roll a die twice. Event A is getting an even number on the first roll. Event B is getting a 4 on the second roll.
2 - You roll a die twice. Event A is getting a 6 on the first roll. Event B is getting a total of more than 7.
3 - You flip a coin and roll a die. Event A is getting heads on the coin. Event B is getting a 3 or more on the die.
4 - You roll a die and flip a coin. Event A is getting heads with the coin and getting 5 on the die.
A. 1
B. 2
C. 3
D. 4

Answer 1

Event A is getting an even number on the first roll. Event B is getting a 4 on the second roll. Events A and B are independent.

Step-by-step explanation:

Event A is getting an even number on the first roll. Event B is getting a 4 on the second roll.

To determine whether events A and B are independent, we need to see if the outcome of one event affects the probability of the other event occurring. In this case, the outcome of rolling an even number on the first roll does not affect the probability of rolling a 4 on the second roll. Therefore, events A and B are independent.

The correct answer is option A.