you pick a card at random. what is p(prime)? simplify your answer and write it as a fraction or whole number.
you pick a card at random. what is p(prime)? simplify your answer and write it as a fraction or whole number.
Answer
Explanation:
Step1: Determine total number of cards
There are 5 cards, so the total number of possible outcomes is 5.
Step2: Identify prime - numbered cards
Prime numbers among 3, 4, 5, 6, 7 are 3, 5, 7. So there are 3 prime - numbered cards.
Step3: Calculate probability
The probability formula is $P(A)=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}$. Here, the number of favorable outcomes (prime - numbered cards) is 3 and the total number of outcomes is 5. So $P(\text{prime})=\frac{3}{5}$.
Answer:
$\frac{3}{5}$