The king, queen and jack of diamonds are removed from a pack of 52 playing cards and then the remaining cards are well shuffled. Now one card is drawn at random from the remaining cards. Determine the probability that the card is a 10 of heart.

see full answer

Start JEE / NEET / Foundation preparation at rupees 99/day !!

21% of IItians & 23% of AIIMS delhi doctors are from Sri Chaitanya institute !!

An Intiative by Sri Chaitanya

149

249

349

449

answer is A.

(Unlock A.I Detailed Solution for FREE)

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test

Detailed Solution

Given that from a pack of 52 playing cards, the king, queen and jack of diamond are removed and one card is selected from the remaining cards.
We need to find the probability of getting a 10 of heart.
Probability of an event E is defined as:

P (E) = \frac{Number of favorable outcomes}{Total number of possible outcomes}

A deck of cards contains 52 cards in it, that are 13 spade cards, 13 heart cards, 13 diamond cards and 13 club cards.
Three cards are removed from the pack of 52 cards.
Therefore, the remaining cards in the pack are:
52 – 3 = 49
Therefore, the total number of possible outcomes is 49.
There is only one 10 of heart in the pack.
Therefore, the total number of favorable outcomes will be 1.
Let