Calculate the probability of ending up with an odd number of Spade cards when 5 cards...

Calculate the probability of ending up with an odd number of Spade cards when 5 cards are sampled uniformly at random from a full deck of 52 cards. (assume sampling is one-at-a-time)

Expert Solution

First there is 4 odd numbers from spade cards which are 3,5,7,9.

Hence we choose it as 13C4.

And then we choose 1 card from the remaining 39 cards which is 39C1.

Then to get the combination multiply 13C4 and 39C1 and then divide by 52C5.

Probability of ending up with an with an odd number of Spade cards when 5 cards are sampled uniformly at random from a full deck of 52 cards

=

= (71539)2598960

= 278852598960

= 0.011 .................................... (ANSWER)

milcah answered 9 months ago

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