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 10 times. each time, lester only chooses a single number. what is the probability that he loses all 10 of his lottery games? give your answer to three decimal places.

0.056

Step-by-step explanation:

Data provided in the question;

Probability of winning,  p = 0.25

Probability of losing, q = 1 - Probability of winning  

= 1 - p = 1 - 0.25

= 0.75

Number of times lottery is drawn, n = 10

Now,

P( he loses all 10 of his lottery games ) = qⁿ

on substituting the respective values, we get

P( he loses all 10 of his lottery games ) = 0.75¹⁰

or

P( he loses all 10 of his lottery games ) = 0.056

step-by-step explanation:

4  

25

5258y

54.

t5

5r

54

5856

542

5458

86

.8558.65

565

565

55898

786

8/95

5896

8656265

556478