Question

A 3​-card hand is dealt from a standard​ 52-card deck, and then one of the 3 cards is chosen at random. If only one of the cards in the hand is a 3​, what is the probability that the chosen card is a 3​?

The probability that the chosen card is a 3 is?
​(Simplify your answer. Type an integer or a​ fraction.)

Answer 1

1/3

Explanation:

Once you know there is a 3 in the hand, and only one card is drawn from the cards in the hand, then the probability of drawing the 3 is 1/3.

Answer 2

P (chosen card is 3) =
`(1)/(3)`

Explanation:

We are given that a 3​-card hand is dealt from a standard​ 52-card deck, and then one of the 3 cards is chosen at random.

Given that only one of the cards is a 3, we are to find the probability that the chosen card is a 3.

Since only one card is a 3 and one card is chosen so:

P (chosen card is 3) = 1 / 3