Problem

At a town fair, for one of the game booths contestants pick a single card from a standard deck and payouts are based on the card chosen. Express your answers as reduced fractions. Find the probability that your card is Part 1 of 8 (a) The 3 of clubs. The probability that the first card picked up was a 3 of clubs is $\frac{1}{52}$. Part: 1 / 8 Part 2 of 8 (b) A black card. The probability that the first card picked up was a black card is

Solution

Step 1 :At a town fair, for one of the game booths contestants pick a single card from a standard deck and payouts are based on the card chosen. Express your answers as reduced fractions.

Step 2 :Find the probability that your card is

Step 3 :Part 1 of 8

Step 4 :(a) The 3 of clubs.

Step 5 :The probability that the first card picked up was a 3 of clubs is \(\frac{1}{52}\).

Step 6 :Part: 1 / 8

Step 7 :Part 2 of 8

Step 8 :(b) A black card.

Step 9 :The probability that the first card picked up was a black card is

Step 10 :There are 26 black cards in a standard deck of 52 cards. So, the probability of picking a black card is \(\frac{26}{52}\) or \(\frac{1}{2}\).

Step 11 :Final Answer: The probability that the first card picked up was a black card is \(\boxed{\frac{1}{2}}\).

From Solvely APP
Source: https://solvelyapp.com/problems/15684/

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