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In New York State's Quick Draw lottery, players choose between one and ten numbers that range from 1 to 80. A total of 20 winning numbers are randomly selected and displayed on a screen. If you choose a single number, your probability of selecting a winning number is 2080, or 0.25. Suppose Lester plays the Quick Draw lottery 6 times. Each time, Lester only chooses a single number. What is the probability that he loses all 6 of his lottery games?

Respuesta :

Answer:

The probability that he loses all 6 of his lottery games is 17.798% or 0.17798.

Step-by-step explanation:

Consider the provided information.

It is given that the probability of winning is 0.25.

That means the probability of losing is 1-0.25 = 0.75.

Suppose Lester plays the Quick Draw lottery 6 times. Each time, Lester only chooses a single number.

The probability that he loses all 6 of his lottery games

[tex]0.75^6 = 0.17798=17.798%[/tex]

Hence, the probability that he loses all 6 of his lottery games is 17.798% or 0.17798.

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