current skill! you randomly draw once from this deck of cards: 4 5 9 3 1 1 4 7 what is the probability of…

current skill! you randomly draw once from this deck of cards: 4 5 9 3 1 1 4 7 what is the probability of drawing a number more than 5 or a prime number (1 is not prime)? write your answer as a fraction. skill code: 600056

current skill! you randomly draw once from this deck of cards: 4 5 9 3 1 1 4 7 what is the probability of drawing a number more than 5 or a prime number (1 is not prime)? write your answer as a fraction. skill code: 600056

Answer

Answer:

$\frac{5}{8}$

Explanation:

Step1: Identify total number of cards

There are 8 cards in total.

Step2: List numbers more than 5 or prime

Numbers more than 5 are 7, 9. Prime numbers (ex - 1) are 3, 5, 7. The combined non - repeating set is {3, 5, 7, 9}, which has 4 distinct elements. But we double - counted 7 once. So the number of favorable outcomes is 5.

Step3: Calculate probability

Probability = $\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}=\frac{5}{8}$