please! check my anwser. Four cards drawn from standard desk of cards .Each card is replaced before the next one is drawn .Find eanh probability
The probability of one type of card (red, ace of diamond) is 1/52.
P ( 4 jacks) = (4/52) + (4/52) + (4/52) + (4/52) P( at most 1 jack ) = ?
Drawing a jack is an independent event, multiply probabilities of independent events P(4 jacks) = (4/52)(4/52)(4/52)(4/52) P(at most 1 jack) = P(0 jacks) + P(1 Jack) P(0 jacks) = (48/52)(48/52)(48/52)(48/52) P(1 jack) = (4C1)(4/52)(48/52)(48/52)(48/52)
its similar to binomial theorem n = 4 p = 4/52
for jacks means jack and jack and jack and jack. since the cards are replaced it is \[(\frac{4}{52})^4\] oh, what dumbcow said, never mind
can you help me P( exactly 3 jacks) ?
(4/52)^4 ?
yess exactly 3 jacks
3 jacks, one not jack \[(\frac{4}{52})^3\times \frac{48}{52}\times 4\]
4= ?
four cards. jack, jack, jack, not jack jack, jack, not jack, jack jack, not jack, jack, jack not jack, jack, jack, jack
that explains why you multiply by 4
each one of these has the same probability, each one is \[(\frac{4}{52})^2(\frac{48}{52})\]
but there are 4 disjoint possibilities, hence the multiply by 4 part
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