Question

New York State's "Quick Draw" lottery moves right along. Players choose between one and 10 numbers from the range one to 80; 20 winning numbers are displayed on a screen every four minutes. If you choose just one number, your probability of winning is 20/80, or 0.25. Lester plays one number fourteen times as he sits in a bar. What is the probability that all fourteen bets lose

Answer 1

0.0178

Explanation:

For computation of probability that all fourteen bets lose first we need to find out the Probability of losing in 1 bet is shown below:-

Probability of losing in 1 bet = 1 - P(winning)

= 1 - 0.25

= 0.75

With the help of probability of losing in 1 bet we can find out the Probability of losing in 8 bets which is here below:-

= Probability of losing in 1 bet ^ Number of loosing bets

= 0.75 ^ 14

= 0.017817948

or

= 0.0178

Therefore for computing the probability that all fourteen bets lose we simply applied the above formula.