Question

The king, queen and jack of clubs are removed from a deck of 52 playing cards and then shuffled. Find the probability of getting an '8’ of red color if a card is drawn from the remaining cards.

• A. $\frac{2}{49}$
• B. $\frac{1}{49}$
• C. $\frac{3}{49}$
• D. $\frac{4}{49}$

Answer 1

The correct option is A $\frac{2}{49}$

Total no. of outcomes= 52-3 = 49
Cards of hearts and diamonds are red cards.
$\therefore$ Total number of red colored '8'= 2
For an event $E,\text{Probability P(E)}$ = $\frac{\text{Number of outcomes favourable to E}}{\text{Number of all possible outcomes of the experiment}}$

$\therefore$ the probability of getting ‘8’ of red color $=\frac{2}{49}$