191k views
3 votes
A standard deck of cards contains 52 cards. One card is selected from the deck. Compute the probability of randomly selecting a five or queen.

A. P(five or queen) = 4/52
B. P(five or queen) = 8/52
C. P(five or queen) = 12/52
D. P(five or queen) = 16/52

1 Answer

1 vote

Final answer:

The probability of randomly selecting a five or queen from a standard deck is 8/52 or 2/13 because there are four fives and four queens in a standard deck of 52 cards.

Step-by-step explanation:

The probability of selecting either a five or a queen from a standard deck of 52 cards requires considering the number of each in the deck. There are four fives (one in each suit) and four queens (one in each suit), making a total of eight cards that are either a five or a queen.

Therefore, the probability P(five or queen) is equal to the number of favorable outcomes (being either a five or a queen) divided by the total number of possible outcomes (the total number of cards in the deck).

P(five or queen) = Number of fives + Number of queens / Total number of cards

P(five or queen) = 4 + 4 / 52

P(five or queen) = 8 / 52

This can be simplified by dividing the numerator and denominator by 4:

P(five or queen) = 2 / 13

So, the correct answer is B. P(five or queen) = 8/52.

User Ivan Filho
by
8.0k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories