Multiple choice

$17$ cards are numbered $1,2,3.... 16,17$ are put in a box and mixed. A card is drawn at random from the box. What is the probability that the card drawn is prime?

  1. $\dfrac{7}{17}$
  2. $\dfrac{8}{17}$
  3. $\dfrac{5}{17}$
  4. $\dfrac{1}{2}$
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Primes between 1 and 17 are 2, 3, 5, 7, 11, 13, 17. There are 7 such numbers. Total numbers are 17. Probability = 7/17.

AI explanation

The total number of possible outcomes when drawing one card from 17 is 17. The prime numbers between 1 and 17 are 2, 3, 5, 7, 11, 13, and 17, giving exactly 7 favorable outcomes. By the classical definition of probability, we divide the favorable outcomes by the total outcomes to get 7 divided by 17.

Keep practicing — related questions