I am flipping a coin and roling a die what is the probability that i get heads and an ven number

Answer 1

To calculate the probability of getting heads on a coin flip and an even number on a die roll, you need to find the probability of each event happening separately and then multiply them together.

1. Probability of getting heads on a coin flip: Since there are only two possible outcomes for a coin flip (heads or tails) and one of them is heads, the probability of getting heads is 1/2.

2. Probability of rolling an even number on a die: There are three even numbers on a standard six-sided die (2, 4, and 6) out of a total of six possible outcomes. Therefore, the probability of rolling an even number is 3/6 or 1/2.

To calculate the probability of both events happening together, multiply the probabilities:

P(Heads and Even number) = P(Heads) * P(Even number)
P(Heads and Even number) = 1/2 * 1/2
P(Heads and Even number) = 1/4
P(Heads and Even number) = 0.25

So, the probability of getting heads on a coin flip and an even number on a die roll is 0.25 or 25%.