# The die is rolled twice to find the probability that the highest of the two numbers rolled is 5.

July 28, 2021 | education

| The probability of event A – the number 5 will be the highest of the dropped out:

P (A) = m / n, where

m = is the number of favorable outcomes;

n is the total number of outcomes;

n = 6 6 = 36 – since the events are independent;

Favorable outcomes – the first time, 5 points will be dropped, and the second – any, except 6 (5 events), or vice versa, the second time, 5 points will be dropped, and the first any, except 6 (5 events). Only 10 events, but the option – both times dropped 5 points was counted twice;

Then n = 5 + 5 – 1 = 9;

The probability will be:

P (A) = 9/36 = 0.25;

Answer: The probability that the largest of the two drawn numbers is 5, P (A) = 0.25.