Question

A card is drawn at random from a well-shuffled pack of 52 cards. What is the probability that the card bears a number greater than 3 and less than 10?

Answer 1

Total number of cards = 52

i.e. Total number of outcomes = 52

There will be 4 sets of each card naming A, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, J, Q, K.

So, there will be a total of 24 cards between 3 and 10

Total number of favorable outcomes = 24

We know,

Probability of occurrence of an event = (Total number of favorable outcomes) / (Total number of outcomes)

Therefore, the probability of picking card between 3 and 10 = 24/52 = 6/13