(15) Three cards are randomly drawn from adeck of 52 cards. Find the probability
ID: 2916818 • Letter: #
Question
(15) Three cards are randomly drawn from adeck of 52 cards. Find the probability of drawing three kingsif the selection is done with replacement? Withoutreplacement?
(16) According to a study, the four mostcommon incidents encountered with drivers using cell phones arelisted in the following table:
Incident
Number of Incidents
Swerved
45
Sped up
40
Cut off a car
20
Almost hit a car
18
If an incident is randomly selected, find thefollowing probabilities:
(a) The incident did not involvecutting off a car.
(b) The incident involves either speedingup or almost hitting a car.
Incident
Number of Incidents
Swerved
45
Sped up
40
Cut off a car
20
Almost hit a car
18
Explanation / Answer
(15) P(With replacement) = 4/52 x 4/52 x 4/52 = 0.000455 P(Without replacement) = 4/52 x 3/51 x 2/50 = 0.000181 (16) (a) The incidentdid not involve cutting off a car. Total incidents = 45 + 40 + 20 + 18 = 123 P(did not involve cutting off a car) = (123 - 20)/123 = 0.8374 (b) Theincident involves either speeding up or almost hitting acar. P(Speeding up or almost hitting a car) = (40 + 18)/123 = 0.472 Hope this helps!
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