SOLUTION: Data is collected for a total of 100 driving trips. Informatiom is gathered on whether the driver takes a map and whether the driver gets lost (see the table below). The driver t

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Question 483293: Data is collected for a total of 100 driving trips. Informatiom is gathered on whether the driver takes a map and whether the driver gets lost (see the table below). The driver then goes on 2 additional trips.
..................Gets lost...............Doesn't get lost..........Totals
....................10..........................30.......................40
....................40..........................20.......................60
....................50..........................50.......................100
Find the probability that the driver gets lost both times, whether a map is brought or not.
a. 0.010
b. 0.200
c. 0.247
d. 0.250

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
Data is collected for a total of 100 driving trips. Informatiom is gathered on whether the driver takes a map and whether the driver gets lost (see the table below). The driver then goes on 2 additional trips.
..................Gets lost...............Doesn't get lost..........Totals
....................10..........................30.......................40
....................40..........................20.......................60
....................50..........................50.......................100
Find the probability that the driver gets lost both times, whether a map is brought or not.
-------------
P(gets lost on a trip) = 50/100 = 1/2
---
P(gets lost on 2 trips) = (1/2)(1/2) = 1/4 = 0.25
==========
Cheers,
Stan H.
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a. 0.010
b. 0.200
c. 0.247
d. 0.250

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