Cards again

Jan 2017
82
8
California
Hi everyone
Five cards are dealt. The first three are not the queen of hearts. What is the probability that the ace of spades is one of the cards dealt?



Here goes my logic guys. Please let me know what you think. So the probability is 1- the probability of getting no ace of spades.

The first 3 fractions exclude the queen of hearts and the last two include it.

Thanks in advance.
 

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Last edited by a moderator:
Jun 2019
445
237
USA
It passes a reality check: Probability should be very close to the probability of drawing the ace of spades in five cards, which should be just a little higher than 5/52 = 9.6 %. Your value is 9.7 %.
 
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