How many possible values can the following random variable take? The number of h

Question

How many possible values can the following random variable take?

The number of hearts in a five-card hand drawn from a deck of 52 cards that contains 13 hearts in all.                             [ Select ]                       ["12", "2", "4", "13", "6", "3", "14", "0", "1", "10", "7", "9", "11", "5", "8"]      

The number of heads observed in the experiment of tossing a coin twice.                            [ Select ]                       ["3", "5", "4", "2", "0", "1"]      

The sum of dots on top in the experiment of rolling two dice at the same time.                             [ Select ]                       ["6", "12", "36", "11", "1", "17", "5"]      

Explanation / Answer

a. Number of hears in a five-card hand drawn from a deck of 52 cards that contains 13 hearts in all

This can be 0,1,2,3,4 or 5.

There are 6 values in total.

The answer is 6.

b. The number of heads observed in the experiment of tossing a coin twice

This can be 0,1,2.

There are 3 values in all.

The answer is 3.

c. The sum of dots on top in the experiment of rolling two dice at the same time

This can be 2,3,4,5,6,7,8,9,10,11,12.

There are 11 values in all.

The answer is 11.

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