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# Probability Distribution: Cards, Cummulative Distribution

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Construct the probability distribution for the value of a 2-card hand dealt from a standard deck of 52 cards (all face cards have a value of 10 and an ace has a value of 11).

a. What is the probability of being dealt 21?
b. What is the probability of being dealth 20?
c. Construct a chart for the cumulative distribution function. What is the probability of being dealt a 16 or less? Between 12 and 16? Between 17 and 20?
d. Find the expected value and standard deviation of a two-card hand

https://brainmass.com/statistics/probability/probability-distribution-cards-cummulative-distribution-485071

#### Solution Preview

Construct the probability distribution for the value of a 2-card hand dealt from a standard deck of 52 cards (all face cards have a value of 10 and an ace has a value of 11).
a. What is the probability of being dealt 21?
Solution. If we take 2-card hand dealt from a standard deck of 52 cards, then there are cases. To be able to get 21, one card must be an ace (there are 4 aces), and the other must be 10 (there are 4*4=16 such values). So, of 1326 cases, the number of times being dealt 21 is
4*16=64.
So, the probability of being dealt 21 is 64/1326=32/663=0.0483
b. What is the probability of being dealth 20?
Solution. If we take 2-card hand dealt from a standard deck of 52 cards, then there are cases. There are ...

#### Solution Summary

The expert examines probability distributions for cards and cumulative distributions.

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