Given a 52 card deck no jokers, find following probabilities..

Question

Drawing a four on first draw, replacing it, and drawing a heart card on the second draw,

I think I'm supposed to make a percentage out of this problem, is it possible cuz I'm confused..

Answer 1

The probability on the 1st draw (a four) is 4 / 52 or `1/13

Since the card is replaced there are still 52 cards in the deck for the 2nd draw.

The probability of a heart on the 2nd draw is 13/52 (13 cards in a suit) = 1/4.

The probability of a 4 then a heart is 1/13 times 1/4 = 1/52.

If you want to express that as a decimal: 0.019230769230769 repeating. Probabilities are always between 0 and 1 inclusive.

Converting that to a percentage you might state: There is a 1.9 % chance of these two events happening.