Calculating the Probability of Getting a Heads and a Prime Number | A Step-by-Step Guide

What is the probability of getting a heads and a prime number (2, 3, or 5) with one coin flip and one die roll?

To calculate the probability of getting a heads and a prime number with one coin flip and one die roll, we need to determine the individual probabilities and then multiply them together

To calculate the probability of getting a heads and a prime number with one coin flip and one die roll, we need to determine the individual probabilities and then multiply them together.

1. Probability of getting a heads with a coin flip:
– A fair coin has two possible outcomes: heads or tails.
– Since there is only one head on a coin, the probability of getting a heads is 1/2 or 0.5.

2. Probability of rolling a prime number with a die:
– A standard die has six faces labeled with numbers 1 through 6.
– Among these numbers, the prime numbers are 2, 3, and 5.
– Therefore, there are three favorable outcomes (2, 3, 5) out of six possible outcomes.
– Therefore, the probability of rolling a prime number is 3/6 or 1/2.

To calculate the combined probability, we multiply the probabilities of each event:

Probability of getting a heads and a prime number = Probability of getting a heads × Probability of rolling a prime number.

P(heads and prime) = (1/2) × (1/2) = 1/4 or 0.25.

Therefore, the probability of getting a heads and a prime number with one coin flip and one die roll is 1/4 or 0.25.

More Answers: