If two cards are drawn at random without replacement from a standard deck, find the probability that the second card is red, given that the first card was a heart.

Respuesta :

Type this in your calculator (25/51). Your answer should be 49.01% or just 49%

Reason: There are 26 total red cards in a standard 52-card deck. 13 are hearts, the other 13 is diamonds. Probability of a heart would be 13 hearts over 52 cards total. Since you take out one card and do not put it back, there are now only 51 cards left as your new total for the red card probability. So, out of the 26 red cards you had, you now have 25. Therefore, it is 25 red cards over 51 total.

If you were looking for the probability of both, you would multiply (13/52)×(25/51) to get the answer as a decimal, which you can convert to a fraction or percentage if needed.

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