Question

Frank rolled a die 7 times and recorded his results in the

ames and recorded his results in the tally chart below. What is the experimental
probability of rolling a 2?​

Answer 1

Rolling a 2 seven times =
`3.57* 10^(-6)`

Explanation:

Given:

A die is rolled seven times.

Number of possible outcomes in a die = {1, 2, 3, 4, 5, 6}

So, n(S) = 6

Now, rolling a '2' is given as:

`P(2)=\frac{\textrm{Favourable outcome}}{\textrm{Total possible outcomes}}=(1)/(6)`

Now, rolling a die seven times resulting in a '2' is given as the product of the probability at each time.

Therefore, the experimental probability of rolling a 2 seven times is given as:

`=[P(2)]^7\\\\=((1)/(6))^7\\\\=3.57* 10^(-6)`