Question

Pls help me I am so confused and nobody has been helping me

You choose two different side items on a menu at random. Out of 9 side
items on the menu, 3 are vegetables. The first side item you choose is a
vegetable. What is the probability that the second is also a vegetable?

Answer 1

1/4

Explanation:

You want the probability that a random choice from a menu of 9 items, including 3 vegetables, is a vegetable after one vegetable has already been chosen. The second choice is different from the first.

Menu

After choosing one vegetable, the available different items remaining on the menu are 2 vegetables among a total of 8 items.

The probability that the second random choice will be a vegetable is ...

(2 vegetables)/(8 items) = 2/8 = 1/4

The probability that the second choice is also a vegetable is 1/4.

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Additional comment

Since the choices must be different, the first choice is essentially removed from the menu. Since we're only concerned with the second choice, we don't need to consider the probability that the first choice was a vegetable.