Respuesta :
Answer:
(a) 1/ 17 (b) 1/16.
Step-by-step explanation:
(a) Probability ( first car d is a club) = 13/52 = 1/4
Probability( second card is a club) = 12/51 .
So the probability ( first and second are clubs) = 1/4 * 12/51
= 12/ 204 = 1/17 (answer).
(b) Probability ( first car d is a club) = 13/52 = 1/4
Probability ( second card is a club) = 13 / 52 = 1/4
So the probability ( first and second are clubs) = 1/4 * 1/4
= 1/16. (answer).
The probability that the first card is a club and the second card is a club if the sampling is done without replacement = 0.589
The probability that the first card is a club and the second card is a club if the sampling is done with replacement = 0.0625
What is probability?
Probability is simply how likely something is to happen.
A = The first card is a club and the second card is a club if the sampling is done without replacement.
When the first card is drawn,
Number of favorable events = Number of clubs = 13
Number of total events = Number of cards = 52
Probability that the first card drawn is a club = [tex]\frac{13}{52}[/tex]
When the second card is drawn without replacement,
Number of favorable events = Number of clubs - 1 = 12
Number of total events = Number of cards - 1 = 51
Probability that the second card is a club = [tex]\frac{12}{51}[/tex]
P(A) = Probability that the first card is a club * Probability that the second card is club = [tex]\frac{13}{52}*\frac{12}{51} = 0.059[/tex]
B = The first card is a club and the second card is a club if the sampling is done with replacement.
When the first card is drawn,
Number of favorable events = Number of clubs = 13
Number of total events = Number of cards = 52
Probability that the first card drawn is a club = [tex]\frac{13}{52}[/tex]
When the second card is drawn with replacement,
Number of favorable events = Number of clubs = 13
Number of total events = Number of cards = 52
Probability that the second card is a club = [tex]\frac{13}{52}[/tex]
P(A) = Probability that the first card is a club * Probability that the second card is club = [tex]\frac{13}{52}*\frac{13}{52} = 0.0625[/tex]
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