A single card is chosen at random from a standard deck of 52 playing cards. What is the probability of choosing a card other than a queen or a king?
52 - 8 = 44
44/52 = 11/13
To find the probability of choosing a card other than a queen or a king from a standard deck of 52 playing cards, we first need to determine the number of favorable outcomes (cards other than a queen or a king) and the total number of possible outcomes (all cards in the deck).
Step 1: Finding the number of favorable outcomes
In a standard deck of 52 playing cards, there are 4 queens and 4 kings, making a total of 8 cards that are either queens or kings. Therefore, the number of favorable outcomes (cards other than a queen or a king) is 52 - 8 = 44.
Step 2: Finding the total number of possible outcomes
A standard deck of playing cards consists of 52 cards.
Step 3: Calculating the probability
Now that we know the number of favorable outcomes (44) and the total number of possible outcomes (52), we can find the probability by dividing the favorable outcomes by the total number of outcomes:
Probability = Number of Favorable Outcomes / Total Number of Outcomes
Probability = 44 / 52
Probability = 11 / 13
Probability ≈ 0.846 (rounded to three decimal places)
Therefore, the probability of choosing a card other than a queen or a king is approximately 0.846 or 84.6%.