Question

a die was rolled 100 times and the number of time 6 came up was noted. If the experimental probability calculated from this information is 2/5, then how many times 6 came up? Justify your answer.

Answer 1

$2 \div 5 = x + \div 100 \\ x = 2 \div 5 \times 100 \\ x = 40$
Where x is no of times 6occured

Answer 2

Given:

a die was rolled 100 times and the number of times 6 came up was noted. If the experimental probability calculated from this information is 2/5,

To Find:

then how many times do 6 come up?

Solution:

A probability is a measure of how likely an event is to happen with respect to all possible outcomes of that event. It lies between 0 to 1. It is denoted by P. The formula to find probability is,

$P=\frac{Possible Outcomes}{Total outcomes}$

Here total outcomes are given as 100 because the die was rolled 100 times and the probability is given as 2/5, we need to find how many times 6 came up which is equivalent to possible outcomes in the formula,

Let the value of 6 coming up be x, using the stated formula we have,

$\frac{2}{5} =\frac{x}{100} \\\\x=40$

Hence, 6 came up about 40 times.