Question

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

Answer 1

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.