Question

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

Answer 1

The probability of not getting an outcome less than 3 is 2/3

Step-by-step explanation:

We can solve it by finding the probability of getting a number less than 3 and then taking its complement

So,

A die is rolled then

S = {1,2,3,4,5,6}

n(S) = 6

Let p be the probability of getting a number less than 3

The numbers less than 3 are {1,2}

So,

$p =\frac{2}{6}\\p = \frac{1}{3}$

Let q be the complement of p,

The sum of probability of an event's occurrence and non-occurrence is 1

So,

p+q = 1

q = 1-p

$q = 1 - \frac{1}{3}\\q = \frac{3-1}{3}\\q = \frac{2}{3}$

The probability of not getting an outcome less than 3 is 2/3

Keywords: Probability, Sample Space

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