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

40 times

Step-by-step explanation:

Let the number of times 6 came up be .

The formula for calculating probability that an event occur

= number of times the event occur / sample space.

That is :

P(x) = n(x) / n(s)

From the question ,

n(s) = 100

P(6) = 2/5

n(6) = ?

substituting into the formula , we have :

2/5 = n(x) / 100

Therefore :

n(x) = 100 x

n(x) = 200/5

n(x) = 40

Therefore : 6 came up 40 times