Three cards are dealt from a shuffled standard deck of playing cards. Find the probability that the first card dealt is red, the
second is black, and the third is red. (Enter your probability as a fraction.)
1 answer:
There are 52 cards in a deck, half the cards aware red and half the cards are red.
First card being red is 26/52 = 1/2
After the first card is dealt there are 51 cards left and 26 are black so dealing a black card = 26/51
After 2 cards are dealt there are 50 cards left and 25 red ones left. The probability would be 25/50 = 1/2
The probability of all 3 happening = 1/2 x 26/51 x 1/2 = 13/102
Answer: 13/102
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