For the following three questions answer with a decimal rounded to the nearest hundred thousandth (5places after decimal). If 3 random cards are drawn without replacement from a standard deck, the probability that all the cards are hearts is The probability that all the cards are face cards is Note: Face cards are kings, queens, and jacks. The probability that all the cards are even is (Consider aces to be 1, jacks to be 11, queens to be 12, and kings to be 13.)

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For the following three questions, answer with a decimal rounded to the nearest hundred thousandth (5 places after the decimal).

1. If 3 random cards are drawn without replacement from a standard deck, the probability that all the cards are hearts is ____.

2. The probability that all the cards are face cards is ____.

   Note: Face cards are kings, queens, and jacks.

3. The probability that all the cards are even is ____.

   (Consider aces to be 1, jacks to be 11, queens to be 12, and kings to be 13.)
Transcribed Image Text:For the following three questions, answer with a decimal rounded to the nearest hundred thousandth (5 places after the decimal). 1. If 3 random cards are drawn without replacement from a standard deck, the probability that all the cards are hearts is ____. 2. The probability that all the cards are face cards is ____. Note: Face cards are kings, queens, and jacks. 3. The probability that all the cards are even is ____. (Consider aces to be 1, jacks to be 11, queens to be 12, and kings to be 13.)
For the following three questions, answer with a decimal rounded to the nearest hundred thousandth (5 places after decimal).

1. If 3 random cards are drawn without replacement from a standard deck, the probability that all the cards are hearts is
______

2. The probability that all the cards are face cards is
______
   
   Note: Face cards are kings, queens, and jacks.

3. The probability that all the cards are even is
______
   
   (Consider aces to be 1, jacks to be 11, queens to be 12, and kings to be 13.)
Transcribed Image Text:For the following three questions, answer with a decimal rounded to the nearest hundred thousandth (5 places after decimal). 1. If 3 random cards are drawn without replacement from a standard deck, the probability that all the cards are hearts is ______ 2. The probability that all the cards are face cards is ______ Note: Face cards are kings, queens, and jacks. 3. The probability that all the cards are even is ______ (Consider aces to be 1, jacks to be 11, queens to be 12, and kings to be 13.)
Expert Solution
Step 1

1. 

There are 13 heart cards in a deck of cards.

If 3 cards are drawn without replacement then the probability that the all cards are hearts is:

1352×1251×1150=0.01294

 

 

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