A card is selected at random from a well-shuffled ordinary deck consisting of 13 spades, 13 clubs, 13 hearts, and 13 diamonds. 4
Jacks, 4 Queens, and 4 Kings are ‘face’ cards. The probability that the card is a heart or is a face card is about
(a) 0.23
(b) 0.42
(c) 0.19
(d) 0.48
(e) 0.25
1 answer:
Answer:
b) 0.42
Step-by-step explanation:
Let A be the event that card is a heart card and B be the event that card is a face card.
We have to find P(A or B). P(A∪B)=?
P(A∪B)=P(A)+P(B)-P(A∩B)
There are 13 heart cards and 12 cards are face cards. There would be 3 face card in hearts. So,
P(A)=13/52=1/4=0.25
P(B)=12/52=3/13=0.231
P(A∩B)=3/52=0.058
P(A∪B)=0.25+0.231-0.058
P(A∪B)=0.481-0.058
P(A∪B)=0.423
So, the probability that the card is a heart or is a face card is about is 0.42.
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