To decide who has to work the late shift, two coworkers use a standard deck of playing cards. If an​ even​ card is drawn, then Holly will work the late shift. If an​ odd​ card is drawn, Ben will work the late shift. If neither category is drawn, the card is placed back in the deck and they draw another card. Note: a face or ace card is not an odd or even card.


A card is drawn from the deck, what is the probability that Holly will work the late shift? Round to three decimal places.


P(Holly)=*P*(Holly)=

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P(Holly)=*P*(Holly)=0.3850.385

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A card is drawn from the deck, what is the probability that Ben will work the late shift? Round to three decimal places.

To solve this problem, we need to calculate the probability that Ben will work the late shift, i.e., the probability that an odd card is drawn.

### Step 1: Understand the Total Number of Cards
A standard deck of playing cards contains 52 cards. The deck is made up of:
- 4 suits (hearts, diamonds, clubs, spades)
- Each suit has 13 cards (Ace through King).

### Step 2: Define Odd and Even Cards
- **Even Cards**: 2, 4, 6, 8, 10 (5 cards per suit)
- **Odd Cards**: 3, 5, 7, 9 (4 cards per suit)

Face cards (Jack, Queen, King) and Ace are not considered odd or even for this problem.

### Step 3: Determine the Number of Favorable Outcomes for Ben
Since odd cards are 3, 5, 7, and 9, each suit has 4 odd cards, and there are

To decide who has to work the late shift, two coworkers use a standard deck of playing cards. If an even card is drawn, then Holly will work the late shift. If an odd card is drawn, Ben will work the late shift. If neither category is drawn, the card is placed back in the deck and they draw another card. Note: a face or ace card is not an odd or even card.

A card is drawn from the deck, what is the probability that Holly will work the late shift? Round to three decimal places.

P(Holly)=0.385

Explore the probability of Holly working the late shift based on drawing an even card from a standard deck of cards. This problem involves basic probability concepts and the calculation of favorable outcomes. Ideal for students in Grades 10-12.

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