UGC NET Computer Science 2018 July - II Question 80

Question 80

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80. Consider the set of all possible five-card poker hands dealt fairly from a standard deck of fifty-two cards. How many atomic events are there in the joint probability distribution ?

Options:

1. 1 2, 598, 960
2. 2 3, 468, 960
3. 3 3, 958, 590
4. 4 2, 645, 590

Answer : (1) 2, 598, 960

Explanation Question 80

Number of atomic events are there in the joint probability distributionof 5 cards hand from a 52 deck of cards is calculated as shown below:

Total number of combinations possible to have a set of 5 cards from 52,

Total atomic events or count = ⁵²C₅
= 52!/5! * (52-5)!
= 52!/5! * 47!
= (48 x 49 x 50 x 51 x 52)/5!
= 311875200/120
= 2598960

So, Option 1 is correct answer.

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