You draw one card from a standard deck. (a) What is the probabili

aidmoong7

aidmoong7

Answered question

2021-11-18

You randomly select one card from a standard deck.
(a) What is the probability of selecting a king or a queen? 
(b) What is the probability of selecting a face card or a 10? 
(c) What is the probability of selecting a spade or a heart? 
(d) What is the probability of selecting a red card or a black card?

Answer & Explanation

Fesion

Fesion

Beginner2021-11-19Added 24 answers

Step 1
Given that one card is drawn from a standard deck.
Probability is defined as:
P(x)=# of favorable outcomes#of possible outcomes
(a)
No . of cards is 52
No .of kings from each suit is 4
No .of queens from each suit is 4
The no .of favorable cases is 4+4=8
The probability of picking either of them is 852
(b)
No . of cards is 52 No .of face cards from each suit is 4×3=12
card have no. 10 from each suit is 4
The no .of favorable cases is 12+4=16
The probability of picking either of them is 1652
Step 2
(c)
No . of cards is 52
No .of spade cards =13
No .of heart cards =13
The no .of favorable cases is 13+13=26
The probability of picking either of them is 2652
(c)
No . of cards is 52
No .of red cards of heart & diamond =13+13=26
No .of black cards of spade & clubs =13+13=26
The no .of favorable cases is 26+26=52
The probability of picking either of them is 5252=1

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