Question

The king, queen and jack of diamonds are removed from a pack 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) diamond

(ii) a jack

Answer 1

King , queen and jack of diamond are removed from a deck of 52 cards $Remaning=52-3=49$

1. Total card of diamond $=13$

King , queen and jack in removed

Then card $=13-3=10$

$P\left(E\right)=P(Diamondcard\frac{10}{49}$

2. $P\left(Jack\right)=\frac{TotalJackinDeck}{Totalcard}$

$=\frac{3}{49}$