Question

In a certain lottery game, 34 numbers are randomly mixed and 7 are selected. A person must pick all 7 numbers to win. Order is not important. What is the probability of winning?

Answer 1

p(win)=0.00094

Explanation:

-This is a factorial/combination question.

-The probability is calculated using the formula:

`p=(x!)/(_nC_x)\\\\`

Where:

`x` is the number of successful picks

`n` is the total number of picks

Therefore, we calculate the probability as follows;

`Pp=(x!)/(_nC_x)\\\\=(7!)/(_(34)C_7)\\\\=0.00094`

Hence, the probability of winning is 0.00094