1. two cards are drawn from a standard of 52 cards. Find the probability that the second card is a spade given that the first card is a club.

2. Suppose you draw 3 cards from a standard deck of 52 cards . Find the probability that the third card is a club given that the first two cards are spades.

3. AN urn contains 5 blue and 6 green balls. You take 2 balls out of the urn, one after the other, without replacement. Find the probability that the second ball is green given that the first ball is blue.

I need help with these questions. I do not know how to approach and answer them.This is under a subtopic conditional probability .
please help me.
Thanks in Advance.

1 answer

Note that you are only asking for the probability of the last draw.

1. Assuming no replacement, there is one less card. 13/51

2. Use same reasoning.

3. Blue ball = 5/11, green ball = 6/(11-1)

If the events are independent, the probability of both/all events occurring is determined by multiplying the probabilities of the individual events.