Question

If you have a standard deck of 52 cards. You pick one card from the deck and then without putting it back you pick another card . What is the probability that both cards will be 9's

Answer 1

There are 52 cards in a deck, 4 of which are nines.

Initially, the probability of pulling a 9 can be represented by P1, and can be found as:
P1 = Number of 9s/Number of cards
= 4/52
= 1/13

After this, if we pull out a nine (since we want both cards to be nines), then there are 51 cards total and 3 are nines. The probability of pulling out another nine is:
P2 = 3/51
= 1/17

For the probability of both events happening, we multiply these probabilities:

P1* P2
=> (1/13)*(1/17)
=> (1/221)

Answer 2

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