Question

What is the probability of the occurrence of a number that is odd or less than 5 when a fair die is rolled?

Answer 1

Answer:

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Step-by-step explanation:

Answer 2

$\textsf{ANSWER}$

Let the event of the occurence of a number that is odd be $\bold{A}$ and the event of occurence of a number that is less than 5 be $\bold{B}$

P(A) = $\sf{\frac{3}{6}}$$\underbrace{Odd\:number\:=1,3,5}$

P(B) = $\sf{\frac{4}{6}}$$\underbrace{numbers\:less\:than\:5=1,2,3,4}$

P(A and B) = $\sf{\frac{2}{6}}$$\underbrace{numbers\:that\:are\:both\:less\:than\:5\:and\:are\:odd=1\:and\:3}$

Now, P(A or B) = P(A) + P(B) - P(A and B)

$=\frac{3}{6} + \frac{4}{6} - \frac{2}{6} \\ =P( A\:or\:B) = \frac{5}{6}$