Question

Question 30(iii)
All the jacks, queens and kings are removed from a deck of 52 playing cards. The remaining cards are well shuffled and then one card is drawn at random. Giving ace a value 1 similar value for other cards, find the probability that the card has a value less than 7.

Answer 1

In out of 52 playing cards, 4 jacks, 4 queens and 4 kings are removed, then the remaining cards are left, $n\left(S\right)=52-3\times 4=40$.
Let $E_3$ = Event of getting a card whose value is less than 7
=Event of getting a card whose valie is 1,2,3,4,5 or 6.
$\therefore n\left(E_2\right)=6\times 4=24$
$\therefore P\left(E_2\right)=\frac{n(E_2}{n\left(S\right)}=\frac{24}{40}=\frac{3}{5}$