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sylviawilliams04
02.11.2019 •
Mathematics
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.
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Ответ:
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
Ответ: