SOLUTION: Hi, Cards are drawn at random and with replacement from an ordinary deck of 52 cards until a spade appears. What is the probability that at least 4 draws are necessary?

Question 363614: Hi,
Cards are drawn at random and with replacement from an ordinary deck of 52 cards until a spade appears.
What is the probability that at least 4 draws are necessary?
Thanks!
Regards,
Anita
Answer by edjones(8007) (Show Source): You can put this solution on YOUR website!
.75^3=.4219 probability of all non spades on 3 consecutive draws with replacement.
1-.4219=.5781 the probability that at least 4 draws are necessary ie. 3 were not enough.
.
Ed
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