In a lottery game, a player picks 7 numbers from 1 to 53. If 6 of the 7 numbers match those drawn, the player wins second prize. What is the probability of winning this prize?

0.000002089 probability of winning this prize

Step-by-step explanation:

After a number is chosen, it cannot be chosen again. So we use the hypergeometric distribution to solve this question.

Hypergeometric distribution:

The probability of x sucesses is given by the following formula:

In which:

x is the number of sucesses.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

is the number of different combinations of x objects from a set of n elements, given by the following formula.

In this question:

53 numbers, then N = 53.

7 numbers picked, so n = 7.

Total of desired outcomes(any number which the player picks is desired) is 7, so k = 7.

6 successes, so x = 6.

What is the probability of winning this prize?

0.000002089 probability of winning this prize

answer: 42

use a calculator to find that 845/73 = 11.575

the whole part of the answer is 11. multiply this by 73 to get 11*73 = 803.

subtract that result from 845 to get 845 - 803 = 42

to find the perimeter of the rectangle this is the expression:

x-9+x-9+3x-4+3x-4=138

if we simplify it:

8x-26=138

remember, 138 is what it all adds up to

the length is 11.5cm

the width is 57.5cm

the area is 661.25cm^2

the answers might not be correct use at own risk