Question

a coin is flipped and a six-sided die, numbered 1 to 6, is rolled. find the probability of flipping tails and rolling a number less than 3

Answer 1

The probability of flipping tails and rolling a number less than 3 is 1/3.

Step-by-step explanation:

To find the probability of flipping tails and rolling a number less than 3, we need to determine the number of favorable outcomes (tails and numbers less than 3) and divide it by the total number of possible outcomes.

1. Determine the number of favorable outcomes:
- Tails and a number less than 3: T1, T2

2. Determine the total number of possible outcomes:
- Flipping a coin has 2 possible outcomes (heads or tails).
- Rolling a die has 6 possible outcomes (numbers 1 to 6).

3. Multiply the number of outcomes:
- 2 (tails) * 2 (numbers less than 3) = 4

4. Divide the number of favorable outcomes by the total number of outcomes:
- 4/12 = 1/3

Therefore, the probability of flipping tails and rolling a number less than 3 is 1/3.

Answer 2

5/6

Step-by-step explanation:

There is a 1 out of 2 chance that you will roll tails, so the probability is 1/2.

A number less than three is a 2 and 1, so the probability is 2/6.

Add 1/2 + 2/6. (Change 1/2 to 3/6 so you can add.)

3/6 + 2/6 = 5/6

I hope this is correct and helps you!