Question

5.) A six-sided die is rolled 20 times and the results are

recorded as follows: 3 ones, 4 twos, 5 threes, 2 fours, 4
fives, 2 sixes. What is the experimental probability of
rolling a number greater than four? Express your answer
in Fraction, Decimal, and % forms.

Answer 1

There is a 30 % probability of getting a number greater than 4.

In fraction it 6/20

In decimal it is 0.3

Explanation:

The experimental probability is found out by dividing the total favorable outcomes with the total possible outcomes

P (x= 1) = 3/20= 0.15

P (x= 2) = 4/20= 0.2

P (x= 3) = 5/20= 0.25

P (x= 4) = 2/20= 0.1

P (x= 5) = 4/20= 0.2

P (x= 6) = 2/20= 0.1

Now probability greater than 4 = P (x=5) + P(x=6)

= 4/20 + 2/20= 6/20

= 0.2+ 0.1= 0.3

So multiplying it with 100 we get = 0.3* 100= 30%

There is a 30 % probability of getting a number greater than 4.