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

Answer:

Rolling a 2 seven times = $3.57\times 10^{-6}$

Step-by-step 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:

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

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:

$=[P(2)]^7\\\\=(\frac{1}{6})^7\\\\=3.57\times 10^{-6}$