The game called Lotto sponsored by the Louisiana Lottery Com

The game called Lotto sponsored by the Louisiana Lottery Commission pays its largest prize when a contestant matches all 4 of the 41 possible numbers. Assume there are 41 ping-pong balls each with a single number between 1 and 41. Any number appears only once, and the winning balls are selected without replacement.

Find the probability of matching 3 of the 4 winning numbers. (Round your answer to 8 decimal places.)

PLEASE SHOW WORK

The game called Lotto sponsored by the Louisiana Lottery Commission pays its largest prize when a contestant matches all 4 of the 41 possible numbers. Assume there are 41 ping-pong balls each with a single number between 1 and 41. Any number appears only once, and the winning balls are selected without replacement.

Solution

THERE ARE 41 NUMBERS & 4 WINNING NUMBERS . TO MATCH 3 OF THE 4 WINNING NUMBERS , THE FIRST PICK CAN BE ANY ONE OUT THE 4 WINNING NUMBERS IN 41 BALLS