Question

The queen king, jack of diamonds are removed from a deck of $52$ playing cards. One card is drawn. Find the probability of getting a card of
(i) a diamond (ii) a jack

Answer 1

Probability = Number of favourable outcomes$/$Total number of outcomes

Total cards$=52-3=49$

Total cards of diamonds$=13-3=10$

$i)$Required probability $=P\left(Diamondcards\right)=\frac{10}{49}$

$ii)$ There are four Jacks in a deck. After removing a jack of diamond we left with 3 Jacks.

Number of favorable outcomes $=3$

Probability = Number of favourable outcomes/ Total number of outcomes

Required probability $=P\left(Jack\right)=3/49$.