Question

1) Suppose a jar contains 18 red marbles and 28 blue marbles. If you reach in the jar and pull out 2 marbles at random, find the probability that both are red.
Write your answer in decimal form, rounded to the nearest thousandth.

2)In a certain state's lottery, 40 balls numbered 1 through 40 are placed in a machine and six of them are drawn at random. If the six numbers drawn match the numbers that a player had chosen, the player wins $1,000,000. In this lottery, the order the numbers are drawn in does not matter.

Compute the probability that you win the million-dollar prize if you purchase a single lottery ticket. Write your answer as a reduced fraction.

Answer 1