Statistics And Probability Question 224

Question: A card is drawn at random from a pack of cards. The probability of this card being a red or a queen is

[MP PET 1989]

Options:

A) $ \frac{1}{13} $

B) $ \frac{1}{26} $

C) $ \frac{1}{2} $

D) $ \frac{7}{13} $

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Answer:

Correct Answer: D

Solution:

  •                 Required probability  is                                                                                                          $ P(Red+Queen)-P(Red\cap Queen) $                                                                                                                                                                                                                                                                 $ =P(Red)+P(Queen)-P(Red\cap Queen) $                                                                                                                                                                                                                                                        $ =\frac{26}{52}+\frac{4}{52}-\frac{2}{52}=\frac{28}{52}=\frac{7}{13}. $