Question

A coin is tossed and a die is rolled. Find the probability of getting a head and a number greater than two?

1) 1/6
2) 1/3
3) 1/4
4) 1/2

Answer 1

The probability of getting a head and a number greater than two is 1/3.

Step-by-step explanation:

To find the probability of getting a head and a number greater than two, we need to determine the probability of each event separately and then multiply them together.

The probability of getting a head when a coin is tossed is 1/2.

The probability of rolling a number greater than two on a die is 4/6, because there are 4 numbers (3, 4, 5, 6) out of the 6 possible outcomes that satisfy the condition.

Now, we can multiply the probabilities: (1/2) × (4/6) = 2/6 or 1/3.

Therefore, the probability of getting a head and a number greater than two is 1/3.