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algebra 2

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a card is drawn from a deck of 52 and recorded. then the card is replaced, and the deck is shuffled. this process is repeated 13 times,what is the probability that at least one of the cards drawn is a heart?

  • algebra 2 - ,

    probability heart not drawn in each trial = 3/4
    probability heart not drawn in 13 independent trials = (3/4)^13
    probability that at least one heart is drawn = 1 - .75^13

    By the way, independent because you always put the card back after each choice so 1/4 of the deck is always hearts

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