Question

Question 30(i)
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 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 $E_1$ = Event of getting a card whose value is 7.
E = card value 7 may be of a spade, a diamond, a club or a heart
$\therefore n\left(E_1\right)=4$
$\therefore P\left(E_1\right)=\frac{n\left(E_1\right)}{n\left(S\right)}=\frac{4}{40}=\frac{1}{10}$