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roseemariehunter12
31.12.2020 •
Mathematics
In a certain state's lottery, 40 balls numbered 1 through 40 are placed in a machine and 7 of them are drawn at random. If the 7 numbers drawn match the 7 numbers a player has chosen, in any order, she or he win $2,500,000. Alternatively, if 6 of the numbers drawn match 6 of the 7 numbers a player has chosen, in any order, the player wins $40,000, and if 5 of the numbers drawn match 5 of the 7 numbers a player has chosen, in any order, the player wins $10,000.
Required:
a. What is the probability a player who buys one ticket will win the $2,500,000 prize?
b. What is the probability a player who buys one ticket will win the $10,000 prize?
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Ответ:
Step-by-step explanation:
From the given information;
The total number of ways to choose 7 number =![^{40}C_7](/tpl/images/1010/1652/7a014.png)
Number of ways to choose 7 correct numbers =![^{7}C_7](/tpl/images/1010/1652/91883.png)
∴
The probability P( win $2500000) is;
= 5.36 × 10⁻⁸
The probability P( win $10000) is:
= 5.95 × 10⁻⁴
Ответ: