Maria is playing a game where she is trying to draw a spade from a standard deck of cards. if she doesnt get a spade, she replaces the card, shuffles the deck, and tries again. if she draws a card 3 times and doesnt get a spade, she loses. what is the probability that Maria loses the game? round your answer to the nearest tenth of a percent.
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satellite73 (satellite73):
not spade times not spade times not space
satellite73 (satellite73):
what is the probability she does not draw a spade?
satellite73 (satellite73):
if that is not clear, let me know
OpenStudy (rayep12):
27/64
OpenStudy (rayep12):
.4
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OpenStudy (alexa98):
42.1%
satellite73 (satellite73):
you know where any of those numbers come from?
OpenStudy (alexa98):
wouldn't it be 39/52?
satellite73 (satellite73):
no
there are four suits, with equal number of cards in each
so the probability of not drawing a spade on any one try is \(\frac{3}{4}\)
satellite73 (satellite73):
of course you are also right, since \[\frac{39}{52}=\frac{3}{4}\] it is just that \(\frac{3}{4}\) is a heck of a lot easier to cube
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