A card is drawn at random from a well-shuffled pack of 52 cards.

Question:

A card is drawn at random from a well-shuffled pack of 52 cards. Find the probability that the card drawn is neither a red card nor a queen.

Solution:

 Total number of all possible outcomes= 52
 There are 26 red cards (including 2 queens) and apart from these, there are 2 more queens.
 Number of cards, each one of which is either a red card or a queen = 26 + 2 = 28
 Let E be the event that the card drawn is neither a red card nor a queen.
  Then, the number of favourable outcomes =  (52 − 28) = 24 

$\therefore P($ getting neither a red card nor a queen $)=P(E)=\frac{24}{52}=\frac{6}{13}$

Leave a comment

Close

Click here to get exam-ready with eSaral

For making your preparation journey smoother of JEE, NEET and Class 8 to 10, grab our app now.

Download Now