Question

A standard deck has 52 cards. Half the cards are black and half are red. There are four suits: clubs, spades, hearts, and diamonds. Each suit has 13 cards. There are 4 of each number card, and 4 of each face card (jack, queen, king).Use the image below to help you answer (Part A and Part B)about a deck of cards.PART A: You randomly choose one card from a standard deck. What is the probability that you’ll get a queen? Simplify the fraction.1/161/131/41/2PART B: You randomly choose one card from a standard deck. What is the probability that you will choose a heart? 10%15%25%33%

Answer 1

Pr(queen) = 1/13

Pr(heart) = 25%

Explanation:

Part A:

Total cards in a standard deck = 52

from the diagram, there are 4 queens:

1 club queen, 1 spade queen, 1 heart queeen, 1 diamond queen

Probability of getting a queen = number of queens/total number of cards

$\begin{gathered} Pr(queen)\text{ = }\frac{4}{52} \\ Pr(\text{queen) = 1/13} \end{gathered}$

Part B:

from the diagram, there are 13 hearts:

There are 4 suits, each of them has 13 cards. One of the suits is a heart. This means there are 13 cards with hearts

Probability of getting a heart = number of hearts/total number of cards

$\begin{gathered} Pr(\text{heart) = }\frac{13}{52} \\ Pr(\text{heart) = 1/4} \\ In\text{ percentage, 1/4 = }\frac{1}{4\text{ }}\times\text{ 100\% = 25\%} \\ \\ Pr(\text{heart) = 25\%} \end{gathered}$