you pick a card at random. 3 4 5 6 what is p(odd or prime)? simplify your answer and write it as a fraction…

you pick a card at random. 3 4 5 6 what is p(odd or prime)? simplify your answer and write it as a fraction or whole number.

you pick a card at random. 3 4 5 6 what is p(odd or prime)? simplify your answer and write it as a fraction or whole number.

Answer

Explanation:

Step1: Identify odd and prime numbers

Odd numbers: 3, 5; Prime numbers: 3, 5. The set of odd - or - prime numbers is {3, 5}.

Step2: Calculate the probability

The total number of cards is 4. The number of favorable outcomes (odd or prime) is 2. Using the probability formula $P(A)=\frac{n(A)}{n(S)}$, where $n(A)$ is the number of favorable outcomes and $n(S)$ is the total number of outcomes. So $P(\text{odd or prime})=\frac{2}{4}$.

Step3: Simplify the fraction

$\frac{2}{4}=\frac{1}{2}$.

Answer:

$\frac{1}{2}$