When a card is drawn from a standard deck of 52 cards, what is the probability of getting a. queen b. a red. c. a queen or a red card

(a) Probability of getting a queen from a deck of 52 cards =

(b) Probability of getting a red card from a deck of 52 cards =

(c) Probability of getting a queen or a red card from a deck of 52 cards =

Solution:

Given that card is drawn from a standard deck of 52 cards.

Need to determine probability of getting  

(a) queen (b) red (c) a queen or a red card

(a) Calculating probability of getting a queen from a deck of 52 cards

Favorable events are getting a queen of spade, heart , diamond or club.

Means number of favorable events = 4

Total events is all possible outcomes from 52 cards  

So Total number of event = 52

(b) Calculating probability of getting a red card from a deck of 52 cards

Number of red cards are 13 cards of diamonds and 13 cards of heart = 13+13 =26

So number of favorable event = 26

Total number of event = 52

(c) Calculating probability of getting a queen or red card from a deck of 52 cards

Favorable events are 26 red cards + two queens of spade and club. Need to keep in mind that queens of heart and diamond is already considered in 26 red cards.

So number of favorable event = (26+2) = 28

Total number of event = 52

Summarizing the result :

(a) Probability of getting a queen from a deck of 52 cards =

(b) Probability of getting a red card from a deck of 52 cards =

(c) Probability of getting a queen or a red card from a deck of 52 cards =

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