A standard deck of cards contains 52 cards. One card is selected from the deck. (a) Compute the probability of randomly selecting a diamond or spade. (b) Compute the probability of randomly selecting a diamond or spade or heart. (c) Compute the probability of randomly selecting an ace or diamond. a. P(diamond or spade) = (Round to three decimal places as needed.) b. P(diamond or spade or heart) = c. P(ace or diamond) = (Round to three decimal (Round to three decimal places as needed.) places as needed.) CENA 1400 LED ENER

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**Understanding Probability with a Deck of Cards**

A standard deck of cards contains 52 cards. If one card is selected from the deck, we explore the following probabilities:

1. **(a)** Compute the probability of randomly selecting a diamond or a spade.

2. **(b)** Compute the probability of randomly selecting a diamond, spade, or heart.

3. **(c)** Compute the probability of randomly selecting an ace or a diamond.

**Probability Questions:**

- **a.** P(diamond or spade) = ______ (Round to three decimal places as needed.)

- **b.** P(diamond or spade or heart) = ______ (Round to three decimal places as needed.)

- **c.** P(ace or diamond) = ______ (Round to three decimal places as needed.)

These exercises help you understand how to calculate probabilities involving combinations of outcomes from events with overlapping options in a standard deck of cards.
Transcribed Image Text:**Understanding Probability with a Deck of Cards** A standard deck of cards contains 52 cards. If one card is selected from the deck, we explore the following probabilities: 1. **(a)** Compute the probability of randomly selecting a diamond or a spade. 2. **(b)** Compute the probability of randomly selecting a diamond, spade, or heart. 3. **(c)** Compute the probability of randomly selecting an ace or a diamond. **Probability Questions:** - **a.** P(diamond or spade) = ______ (Round to three decimal places as needed.) - **b.** P(diamond or spade or heart) = ______ (Round to three decimal places as needed.) - **c.** P(ace or diamond) = ______ (Round to three decimal places as needed.) These exercises help you understand how to calculate probabilities involving combinations of outcomes from events with overlapping options in a standard deck of cards.
Expert Solution
Step 1

select one card at random from 52 card deck. 

there are 13 ranks and 4 suits. 

P(event) = no. of favorable outcomestotal outcome

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