If you flip a coin 3 times and roll a standard number cube. What is the probability you get 3 heads and roll a 1. Write your answer in a reduced fraction
To find the probability of independent events, you multiply the probabilities of each event.
Let's break it down step by step:
1. The probability of getting a head when flipping a fair coin is 1/2.
2. The probability of getting a head three times in a row is (1/2) * (1/2) * (1/2) = 1/8.
3. The probability of rolling a 1 on a standard number cube is 1 out of 6, or 1/6.
To find the probability of both events happening together, you multiply their individual probabilities: (1/8) * (1/6) = 1/48.
Therefore, the probability you get 3 heads and roll a 1 is 1/48.
1/2 x 1/2 x1/2 for heads each time you have a 1/2 chance
Are you only rolling the die once
If so 1/2 x 1/2 x 1/2 x 1/6 simplify to 1 fraction