Question

A single six-sided die is rolled twice. What is the probability of rolling an even number on the first roll and a 1 on the second roll?

A.14.
B. 136
C. 00
D.112​

Answer 1

The probability of rolling an even number on the first roll and a 1 on the second roll of a six-sided die is 1/12.

Step-by-step explanation:

The student has asked about the probability of rolling an even number on the first roll and a 1 on the second roll of a six-sided die. The sample space for a single roll of a six-sided die is {1, 2, 3, 4, 5, 6}.

To find the probability of rolling an even number, we note that there are three even numbers (2, 4, 6) on the die, so the probability of rolling an even number on one roll is 3/6, which simplifies to 1/2.

For rolling a 1, there is only one way to roll a 1 out of the six possible outcomes, so the probability of rolling a 1 is 1/6.

To find the combined probability of both independent events occurring in sequence (rolling an even number and then rolling a 1), we use the product rule and multiply their probabilities: (1/2) x (1/6) = 1/12.