Question

A card is dealt from a complete deck of fifty-two playing cards (no jokers). Use probability rules (when appropriate) to find the probability that the card is as stated. (Count an ace as high. Enter your answers as fractions.) (a) above a queen

Answer 1

To find the probability of drawing a card above a queen from a deck of 52 cards, divide the number of cards above a queen (8) by the total number of cards (52), resulting in a probability of 2/13.

Step-by-step explanation:

The question belongs to the field of probability, which is a branch of mathematics dealing with the likelihood of different outcomes. To determine the probability of drawing a card above a queen from a standard deck of 52 playing cards, we need to consider how many cards are ranked higher than a queen. In each suit (hearts, diamonds, clubs, spades), there is only one king and one ace that are above a queen, making a total of 8 such cards in the deck. The probability of drawing a card above a queen would therefore be:

P(card above a queen) = Number of cards above a queen / Total number of cards = 8 / 52 = 2 / 13

Answer 2

4/13

Step-by-step explanation:

There are 52 total cards

The number of cards above a queen

There are 4 kings and 4 aces (aces high) = 8

P (above a queen) = Number above a queen/ total

= 8/52

Divide by 4 on the top and bottom

= 4/13