A card is drawn at random from a well-shuffled pack of 52 cards, find the probablity of getting the neither black nor face cards.
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Hey there!
Total number of Outcome (Cards) = 52
First eliminate half the deck, so as to get rid of the red cards. This leaves,
1/2 × 52 = 26 Cards
However, two queens were already gotten rid of when all the red cards were removed, leaving only two black queens.
Thus, we take two black queens away from our remaining cards,
26 - 2 = 24
∴ Number of Favourable Outcomes = 24
P(getting neither a Red nor a Queen) = 24/52
= 6/13
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