Question

The queen, the king and the jack of diamonds are removed from a deck of 52 playing cards and the pack is well-shuffled. A card is drawn from the remaining cards. Find the probability of getting a card of
i) a diamond
ii) a jack

Answer 1

Hint: Total number of cards in a deck is 52. Eliminate the cards and try to consider the given conditions to find the probability.

Complete step-by-step answer:
A deck has a total 52 numbers of cards. Now, King, queen and jack of diamonds are removed from a deck of 52 playing cards. So, remaining cards in a deck = 52 – 3 = 49,
So, we see, that Total number of outcomes = 49,
i) We know that there are 13 cards of diamond in a particular deck. After removing the king, queen and jack of Diamonds only 10 diamond cards are left in that Deck.
So, now the number of favorable Outcomes become = 10,
We have, our Required Probability = \[\dfrac{{10}}{{49}}\]
ii) And again, There are 4 jacks in a deck. After removing a jack of diamond we left with 3 Jacks.
Number of favorable outcomes = 3,
So, we now have, Required Probability = \[\dfrac{3}{{49}}\]

Note: Probability of an event is given by ( total number of favorable outcomes)/ (total number of outcomes)
Probability of an event is always greater than equal to 0 and less than equal to 1.