1) Determine which events are mutually exclusive and which are not, when a single card is drawn from a deck. a. Getting a 7 and getting a jack b. Getting a club and getting a king c. Getting a face card and getting an ace d. Getting a face card and getting a spade

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Holland

Mathematics

20 February, 23:41

1) Determine which events are mutually exclusive and which are not, when a single card is drawn from a deck. a. Getting a 7 and getting a jack b. Getting a club and getting a king c. Getting a face card and getting an ace d. Getting a face card and getting a spade

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Franklin Williamson · Answer 1

The events a) and c) are mutually exclusive.

Step-by-step explanation:

a) This is mutually exclusive, each card has a unique value between 2 and 10, or it is a jack, queen, king, or an Ace. A single card cant have two different values at the same time.

b) This is not mutually exclusive, since you can get a king of clubs. Each card can have any combination of one suit and one value.

c) A face card is either a Jack, a Queen or a King, it is not an Ace. For the same argument of a), a card cant have two different values, therefore this event is mutually exclusive.

d) This is not mutually exclusive, since a card can have any suit independently of the value it has (same argument than b), therefore, a card can be a face card and a spade at the exact time.

Therefore, events a and c are mutually exclusive.