Probability

The probability that a player A wins a game against B is 0.7.The players may play either "a best of 3 games" or "a best of 5 games". If A has been asked to choose, Then which option should he choose,so that he wins the match?

Box A contains 5 red and 3 white marbles and Box B contains 2 red and 6 white marbles.if a marble is drawn from each box,what is the probability that they are both of the same colour?

A box contains 8pens, 6 pencils, and 3 crayons. What is the probability of selecting. A pen, a pencil, a crayon

Chose a point at random in a square with sides 0<x<1 and 0<y<1. Let X be the x coordinate and Y be the why coordinate of the point chosen. Find the conditional probability P(y<1/2 / y>x).

If 40% of the community goes to the car wash, find thes probabilitites for a sample of 13 people: Exactly 7 people go to the car wash. At most 8 people go to the car wash At least 6 people go to the car wash. Less than 5 people go to the car wash.