question_answer

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

Answer:

Total number of possible outcomes \[=52\]

Let E be the event of getting neither a red card nor a queen

\[\therefore \] Number of favourable outcomes \[=52-28=24\]

P(getting neither a red card nor a queen) \[=PE=\frac{24}{52}=\frac{6}{13}\]