Determine whether the events are mutually exclusive.
-If you pick a card at random from a well shuffled deck, what is the probability that you get a face card or a spade?
A) $\frac { 1 } { 22 }$
B) $\frac { 9 } { 26 }$
C) $\frac { 11 } { 26 }$
D) $\frac { 25 } { 52 }$

Question

Determine whether the events are mutually exclusive.
-If you pick a card at random from a well shuffled deck, what is the probability that you get a face card or a spade? 
A) $\frac { 1 } { 22 }$
B) $\frac { 9 } { 26 }$
C) $\frac { 11 } { 26 }$
D) $\frac { 25 } { 52 }$

Quizplus · Accepted Answer

The events are not mutually exclusive because there are face cards that are also spades (Jack, Queen, King of Spades). There are 12 face cards in total and 13 spades, but since 3 of the spades are also face cards, we don't double count them, leading to 12 + 10 = 22 favorable outcomes out of 52 cards, which simplifies to $\frac{11}{26}$.

Determine Whether the Events Are Mutually Exclusive 122\frac { 1 } { 22 }221​

Determine Whether the Events Are Mutually Exclusive $\frac { 1 } { 22 }$