Question

There are 100 games at the state fair. 50 of the games cost $1,25 of the games cost $2,20 of the games cost $3, and 5 of the games cost $5. What is the probability that someone plays a $3 game followed by a different $3 game? Write your answer as a decimal with a leading zero and round to three places. (ans 1]

Answer 1

The probability that someone plays a 3$ game is 20/100 = 1/5

After the person chooses a 3$ game in the first time, he/she is left with 19 more 3$ games. So, the probaility he/she plays the 3$ game for the second time is 19/99.

Thus, the probability that someone plays a 3$ game followed by a different 3$ game is 1/5 x 19/99 = 0.038.