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A standard deck of cards contain a total of 52 cards, 26 of which are red and 26 of which are black

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1. A standard deck of cards contain a total of 52 cards, 26 of which are red and 26 of which are black. A standard die has six sides that are equally likely to come up and are numbered from 1 to 6. A game is played where a single card is drawn from a standard deck and the color is recorded. A standard die is also rolled and the number facing up is recorded.

a. Write out the sample space for this game.
b. Identify all the outcomes where a red card is drawn with a roll of an even number.
c. A person wins the game if they draw a red card and roll and even number. What is the probability of winning this game?

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Solution Preview

1. A standard deck of cards contain a total of 52 cards, 26 of which are red and 26 of which are black. A standard die has six sides that are equally likely to come up and are numbered from 1 to 6. A game is played where a single card is ...

Solution Summary

The expert writes out the sample space for this time. The outcomes where a red card is drawn with a roll of an even number is identified. The probability of winning a game is determined.

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