 # A card is selected at random from a standard 52-card deck. (a) what is the probability that it is an ace? 4/52 (b) what is the probability that it is a heart? .25 (c) what is the probability that it is an ace or a heart Part (a) is relatively straight forward. There are 4 aces in a standard 52-card deck. So the probability that AN ace is picked is just 4/52. Part (b): Note that there are 4 suits in a standard 52-card deck. So picking hearts will be 13/52 or 1/4. Part (c): The probability condition OR means we need to add the two probabilities because we do not want them simultaneously. So, we end up getting Pr(ace) + Pr(heart). From part (a), we found that picking an ace had a probability of 4/52, which is reduced down to 1/13. From part (b), we found that picking a heart had a probability of 1/4. So, the probability of an ace OR a heart is 1/13 + 1/4 = 4/52 + 13/52 = 17/52.

Only authorized users can leave an answer! Can't find the answer?

If you are not satisfied with the answer or you can’t find one, then try to use the search above or find similar answers below.

More questions         Mathematics, added 2021-11-26 20:32:25 Mathematics, added 2021-11-26 19:21:16     