1)
2) Is it 80% ?
1. You are dealt 5 cards from a standard 52 card deck, what is the condition probability that the hand contains no pairs and no spades?
2. The probability of snow is 20%, and the probability of a traffic accident is 10%. Suppose further that the conditional probability of an accident, given that it snows, is 40%. What is the conditional probability that it snows, given that there is an accident?
Hello, Sneaky!
I agree with Traveller's answers.
1. You are dealt 5 cards from a standard 52-card deck, .What is
the probability that the hand contains no pairs and no Spades?
I had to baby-talk my way through this one . . .
We begin with a deck with 39 cards . . . only Hearts, Clubs, and Diamonds.
The 1st card can be any of the 39 cards: .
(Suppose it is the .)
We draw a 2nd card from the remaining 38 cards in the deck,
. . but we do not want the
(Suppose it is the .)
We draw a 3rd card from the remaining 37 cards in the deck.
. . but we do not want:
(Suppose it is the ,)
We draw a 4th card from the remaining 36 cards in the deck.
. . We do not want:
(Suppose it is the .)
We draw a 5th card from the remaining 35 cards in the deck.
. . We do not want:
Hence, there are: . hands
. . with no pairs and no Spades.
And there are: . possible hands.