Poker is a card played with a standard 52 card playing deck. We draw one card at a time without replacement from the top of a shuffled stand

Question

Poker is a card played with a standard 52 card playing deck. We draw one card at a time without replacement from the top of a shuffled standard poker deck and stop when we draw an ace. Let X be the number of cards we have drawn. What is P( X = 5 ) ? Round to two decim

in progress 0
Katherine 5 months 2021-12-26T12:40:34+00:00 1 Answer 0 views 0

Answers ( )

    0
    2021-12-26T12:41:50+00:00

    Answer:

    0.0599

    Step-by-step explanation:

    There are four aces in a standard 52-card deck. If X=5, the first ace must be drawn exactly at the fifth pick, which means that the probability of X=5 is the probability of not getting an ace in the first four picks and getting an ace in the fifth pick:

    [tex]P(X=5)=\frac{48}{52}* \frac{47}{51}* \frac{46}{50}* \frac{45}{49}*\frac{4}{48}\\ P(X=5) =0.0599[/tex]

    The probability that X=5 is 0.0599

Leave an answer

45:7+7-4:2-5:5*4+35:2 =? ( )