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MrRissso [65]
3 years ago
15

If two cards are drawn without replacement from a 52 card deck, find the probability that the second card drawn is red, given th

at the first card was a heart.
Mathematics
1 answer:
snow_lady [41]3 years ago
5 0

Answer:

The probability that the second card drawn is red, given that the first card was a heart is 0.1225

Step-by-step explanation:

Total cards in a deck = 52

Total red cards = 26

Heart cards = 13

Probability of getting red card =\frac{13}{52}

Total remaining card = 51

Remaining red cards = 25

Probability of getting red card in second draw without replacement = \frac{25}{51}

So, the probability that the second card drawn is red, given that the first card was a heart = \frac{13}{52} \times \frac{25}{51} =0.1225

Hence the probability that the second card drawn is red, given that the first card was a heart is 0.1225

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