you roll a 6 - sided die. what is p(odd or even)? write your answer as a fraction or whole number.

you roll a 6 - sided die. what is p(odd or even)? write your answer as a fraction or whole number.

you roll a 6 - sided die. what is p(odd or even)? write your answer as a fraction or whole number.

Answer

Explanation:

Step1: Identify total outcomes

A 6 - sided die has 6 possible outcomes: 1, 2, 3, 4, 5, 6.

Step2: Identify odd and even outcomes

Odd numbers on a 6 - sided die are 1, 3, 5 (3 outcomes). Even numbers are 2, 4, 6 (3 outcomes).

Step3: Use the formula for P(A or B)

For mutually - exclusive events A and B, P(A or B)=P(A)+P(B). Here, P(odd)=$\frac{3}{6}$ and P(even)=$\frac{3}{6}$. So P(odd or even)=$\frac{3}{6}+\frac{3}{6}$.

Step4: Calculate the probability

$\frac{3}{6}+\frac{3}{6}=\frac{3 + 3}{6}=\frac{6}{6}=1$.

Answer:

1