Your mom is a sporting person, so when it's close to your bedtime, she will have a contest with you to see if you get to stay up an extra half-hour to play a computer game. You get to draw a card from a well-shuffled deck. If you draw a face card, an ace, or any heart, she'll "have a heart" and let you stay up. If you draw any other card, you lose and go ahead to bed. Who has the best chance of winning, you or your Mom?

Question

Reiny · Answer

hearts = 13
aces = 4
face cards = 12
total = 29
but we counted AH, JH, QH, KH, twice
so the actual count = 29-4 = 25

prob(staying up) = 25/52
prob(going to bed) = 1 - 25/52 = 27/52

so what do you think?

sheridan · Answer

mom has a higher chance of winning