Maria is playing a game where she is trying to draw a spade from a standard deck of cards. if she doesn't get a spade, she replaces the card, shuffles the deck, and tries again. if she draws a card 3 times and doesn't get a spade, she loses. what is the probability that maria loses the game?

Question

Mathematics

Grumpy

Today, 18:25

Maria is playing a game where she is trying to draw a spade from a standard deck of cards. if she doesn't get a spade, she replaces the card, shuffles the deck, and tries again. if she draws a card 3 times and doesn't get a spade, she loses. what is the probability that maria loses the game?

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Cason Benton · Answer 1

Since 1/4 of the cards in the deck are spades and 3/4 are not she has a 25% chance of drawing a spade each time she draws and a 75% chance of drawing something else. She has the same chance each time she draws, therefore she has a 75% chance of losing the game.