MATH SOLVE

6 months ago

Q:
# The probability of rolling a fair die and not getting an outcome less than 3 is

Accepted Solution

A:

The probability of not getting an outcome less than 3 is 2/3Step-by-step explanation:We can solve it by finding the probability of getting a number less than 3 and then taking its complementSo,A die is rolled thenS = {1,2,3,4,5,6}n(S) = 6Let p be the probability of getting a number less than 3The numbers less than 3 are {1,2}So,[tex]p =\frac{2}{6}\\p = \frac{1}{3}[/tex]Let q be the complement of p, The sum of probability of an event's occurrence and non-occurrence is 1So,p+q = 1q = 1-p[tex]q = 1 - \frac{1}{3}\\q = \frac{3-1}{3}\\q = \frac{2}{3}[/tex]The probability of not getting an outcome less than 3 is 2/3Keywords: Probability, Sample SpaceLearn more about probability at:brainly.com/question/11286417brainly.com/question/11566221#LearnwithBrainly