Question

you pick a card at random. 2 3 4 what is p(3 or prime)? write your answer as a percentage rounded to the nearest tenth.

Explanation:

Step1: Identify prime numbers

The prime numbers among 2, 3, 4 are 2 and 3.

Step2: Use the formula for P(A or B)

The formula for $P(A\ or\ B)$ is $P(A)+P(B)-P(A\ and\ B)$. Here, event A is getting a 3, event B is getting a prime - number. $P(3)=\frac{1}{3}$, $P(prime)=\frac{2}{3}$, and $P(3\ and\ prime)=\frac{1}{3}$ (since 3 is prime). So $P(3\ or\ prime)=\frac{1}{3}+\frac{2}{3}-\frac{1}{3}=\frac{2}{3}$.

Step3: Convert to percentage

To convert $\frac{2}{3}$ to a percentage, we calculate $\frac{2}{3}\times100\approx66.7\%$.

Answer:

66.7%