The probability of choosing the red card will be 0.03%
<h3>What is probability?</h3>
In this situation, Mickey should have drawn the first 7 cards that are not diamond and then on the 8th attempt she should draw an ace.
Let A be the event of drawing 7 cards which are not diamond and B the event of drawing an ace card. therefore the required probability is
P(A∩B)=P(A)*P(B)
Now, there are 13 diamonds and 39 other cards. Hence,
P(A)=(13/39)⁷=0.1335
After drawing 7 non-diamond cards, the 8th card must be a diamond. Hence,
P(B)=0.25
Hence, P(A∩B)=P(A)*P(B)=0.1335*0.25=0.033(approximately 0.03,i.e. 3%)
Therefore the probability that Mickey will draw her first red diamond on the 8th attempt is 0.03%
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