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Math  /  Data & Statistics

QuestionExamples Jennelle draws one card from a standard deck of 52 cards.
1. Determine the probability of drawing either a queen or a king.

Studdy Solution

STEP 1

1. A standard deck of cards consists of 52 cards.
2. There are 4 queens and 4 kings in a standard deck.

STEP 2

1. Determine the total number of favorable outcomes.
2. Calculate the probability of drawing a queen or a king.

STEP 3

Count the number of queens in the deck:
There are 4 queens in a standard deck.

STEP 4

Count the number of kings in the deck:
There are 4 kings in a standard deck.

STEP 5

Calculate the total number of favorable outcomes (either a queen or a king):
4 (queens)+4 (kings)=8 favorable outcomes 4 \text{ (queens)} + 4 \text{ (kings)} = 8 \text{ favorable outcomes}

STEP 6

Calculate the probability of drawing either a queen or a king:
The probability is given by the ratio of the number of favorable outcomes to the total number of possible outcomes (total cards in the deck):
852 \frac{8}{52}

STEP 7

Simplify the probability fraction:
852=213 \frac{8}{52} = \frac{2}{13}
The probability of drawing either a queen or a king is:
213 \boxed{\frac{2}{13}}

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