# You are doing an experiment consisting of rolling a die and drawing a card from a standard playing deck. Recall a deck of cards has four suits each consisting of an ace, the numbers 2-10, and the...

You are doing an experiment consisting of rolling a die and drawing a card from a standard playing deck. Recall a deck of cards has four suits each consisting of an ace, the numbers 2-10, and the face cards (J, Q, K).

Let event A be drawing a card that matches the number of dots on the die. How many ways can this happen?

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### 1 Answer

The question has been edited as you are not allowed to ask multiple questions in a single post.

A standard deck of cards has 4 suits each of which has an ace, cards numbered from 2 to 10 and the face cards, jack, queen and king. A usual die has 6 faces each of which is numbered and has a value that lies in the set {1, 2, 3, 4, 5, 6}.

When a die is rolled, the total number of outcomes is 6. If the card picked from the deck of cards should have the same number as the that of the die it can be either 2, 3, 4, 5 or 6. There is no corresponding card in the deck if a 1 appears when the die is rolled. Each of 2, 3, 4, 5 and 6 can be from one of the four suits. This gives the total number of ways in which the number on the die equals the number on the card drawn as 5*4 = 20.

**The event A of drawing a card that matches the number of dots on the die can happen in 20 ways.**