A number cube with the numbers 1 through 6 is rolled. What is the probability of the number cube showing a 4 or a number less than 3?

Accepted Solution

Answer:Step-by-step explanation:The probability is P(A)=13Explanation:To calculate the probability you have to count the number of all possible results |Ω|and the number of results that fulfill the given condition |A|.In this case Ω={1,2,3,4,5,6} Thereare 6 possible result of a dice toss. So |Ω|=6The given condition is "the result is divisible by 3", so A={3,6} - those are the only numbers divisible by 3, so |A|=2.Finally to calculate the probability we have to divide |A| by |Ω|.P(A)=|A||Ω|=26=13Note The probability is never larger than 1, so if you get such result then there must be a mistake in calculations.