Question

Deon rolled a susided die 40 times. The number 4, appears 15 times. Find the

experimental probability of rolling a 4 in the next trial

Answer 1

The experimental probability of rolling a 4 in the next trial is
`(1)/(6)`.

Explanation:

The experimental probability is the ratio of the favorable outcomes to the total number of outcomes.

That is, the probability of an event E is:

`P(E)=(n(E))/(N)`

Here,

n (E) = favorable outcomes

N = total number of outcomes

It is provided that Deon rolled a six-sided die 40 times.

And in these 40 rolls, the number 4 appeared 15 times.

A six-sided die has an equal probability of landing on any of the six numbers.

The rolling a die is an independent event experiment, i.e. the result of the previous roll does not affect the result of next roll.

Let X = number on the face of the die

Compute the probability of rolling a 4 in the next trial as follows:

P (Rolling a 4) = P (X = 4)

`=(n(X=4))/(N)\\=(1)/(6)\\`

Thus, the experimental probability of rolling a 4 in the next trial is
`(1)/(6)`.