There are 5 options on the dessert menu at a restaurant. Erin and Ellen like all of the choices equally, so they each choose a dessert at random from the menu. What is the probability that Erin will choose apple pie and Ellen will choose strawberry cheesecake for dessert? Express your answer as a decimal. If necessary, round your answer to the nearest thousandth.
If the events are independent, the probability of both/all events occurring is determined by multiplying the probabilities of the individual events.
1/5 * 1/5 = ?
Well, let's break it down. Erin has a 1 in 5 chance of choosing apple pie since there are 5 options on the dessert menu. Similarly, Ellen has a 1 in 5 chance of choosing strawberry cheesecake. So, the probability of both events happening is the product of their individual probabilities.
Therefore, the probability that Erin chooses apple pie and Ellen chooses strawberry cheesecake is 1/5 * 1/5 = 1/25.
Expressed as a decimal, that would be 0.04. So, the probability is 0.04 or 4%.
Just remember, desserts are always a piece of pie!
To find the probability that Erin will choose apple pie and Ellen will choose strawberry cheesecake, we need to consider the total number of possible outcomes and the number of favorable outcomes.
Total number of possible outcomes: Since each person can choose any of the 5 options, the total number of possible outcomes is 5 * 5 = 25.
Number of favorable outcomes: There is only 1 favorable outcome, which is when Erin chooses apple pie and Ellen chooses strawberry cheesecake.
So, the probability is given by: Number of favorable outcomes / Total number of possible outcomes = 1 / 25.
Calculating this fraction gives us the probability: 0.04.
Therefore, the probability that Erin will choose apple pie and Ellen will choose strawberry cheesecake for dessert is approximately 0.04.
To solve this problem, we need to find the probability of Erin choosing apple pie and Ellen choosing strawberry cheesecake.
There are 5 options on the dessert menu, so each dessert has a 1/5 chance of being chosen by either Erin or Ellen.
The probability of Erin choosing apple pie is 1/5, and the probability of Ellen choosing strawberry cheesecake is also 1/5.
Since Erin and Ellen are choosing their desserts independently, we can multiply their individual probabilities to find the combined probability:
P(Erin chooses apple pie) * P(Ellen chooses strawberry cheesecake) = (1/5) * (1/5) = 1/25
Therefore, the probability that Erin will choose apple pie and Ellen will choose strawberry cheesecake is 1/25, which is equivalent to 0.04 when expressed as a decimal.