The school cafeteria gives students two choices of snakes: carrot sticks and pretzels. They also offer a beverage choice of apple juice, low-fat milk, or bottled water. What is the probability of someone getting pretzels and apple juice? What is the probability of choosing pretzels (since there are pretzels and carrot sticks)?

To find the probability of someone getting pretzels and apple juice, we first need to determine the probability of choosing pretzels and the probability of choosing apple juice separately.

The probability of choosing pretzels is 1/2, as there are only two choices (pretzels and carrot sticks) and each choice has an equal likelihood of being chosen.

The probability of choosing apple juice is 1/3, as there are three beverage choices and each has an equal likelihood of being chosen.

To find the probability of choosing both pretzels and apple juice, we multiply the probabilities of each event occurring:

(1/2) * (1/3) = 1/6

So, the probability of someone getting pretzels and apple juice is 1/6 or approximately 0.17.

The probability of choosing pretzels is 1/2 since there are only two choices and pretzels are one of them.

So What is the probability of choosing apple juice (since there is apple juice, milk, and water) ?

The probability of choosing apple juice can be calculated by determining the total number of beverage choices and the number of times apple juice appears in those choices.

In this case, there are three beverage choices: apple juice, low-fat milk, and bottled water. Since each choice has an equal likelihood of being chosen, the probability of choosing apple juice is 1 out of 3 choices.

Therefore, the probability of choosing apple juice is 1/3 or approximately 0.33.

Ok and What is the probability of choosing BOTH pretzels and apple juice?

We have already calculated the probability of choosing pretzels and apple juice separately. The probability of choosing pretzels is 1/2, and the probability of choosing apple juice is 1/3.

To find the probability of choosing both pretzels and apple juice, we multiply the probabilities of each event occurring:

(1/2) * (1/3) = 1/6

So, the probability of someone choosing both pretzels and apple juice is 1/6 or approximately 0.17.