Kindly solve for me these questions ASAP...........................................

 

 

Probability questions
1. Three fair dice are rolled. What is the probability that the sum of the three outcomes is 10 given
that the three dice show different outcomes? 2. A bag contains four balls. One is blue, one is white and two are red. Someone draws together
two balls at random from the bag. He looks at the balls and tells you that there is a red ball
among the two balls drawn out. What is the probability the other ball drawn out is also red? 3. A fair coin is tossed n times. What is the probability of heads on the first toss given that r heads
were obtained in the n tosses?
4. A hand of 13 cards is dealt from a standard deck of 52 cards. What is the probability that it
contains more aces than tens? How does this probability change when you have the information
that the hand contains at least one ace?

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