A block of 100 bits is transmitted over a binary communication channel with probability of bit error, p=10-³. Find the probability that the block contains three or more errors.

Suppose a jar contains 15 red marbles and 10 blue marbles. If you reach in the jar and pull out 2 marbles at random at the same time (same as drawing without replacement), find the probability that both are red.

Suppose that there are 5 white marbles, 2 green marbles, 1 red marble are in the container. You are asked to withdraw 3 marbles at a time. Determine the probability that exactly 2 white marbles are withdrawn.

A player pays a certain amount of money to randomly roll a 6-sided and a 4-sided die, both balanced. If the sum of the dice is less than 5 or greater than 9, the player receives a prize of $ 90. Otherwise he loses the money paid to play, in dollars and cents, to keep this game fair. Write only the number corresponding to the prize without a dollar sign and rounded to 2 decimal places.

SOLVE STEP BY STEP IN DIGITAL FORMAT Urn A contains 2 white and 4 red marbles. Urn B contains 1 white and 1 red marble. A marble is randomly drawn from urn A and placed in urn B. Then a marble is drawn at random from urn B. Find the probability that the marble selected from urn B is red.