SOLUTION: 30 students -26 are right handed, 10 walk to school and 9 of the walkers are right- handed.
Find the probability that a student chosen at random;
i) is left-handed and walks to s
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-> SOLUTION: 30 students -26 are right handed, 10 walk to school and 9 of the walkers are right- handed.
Find the probability that a student chosen at random;
i) is left-handed and walks to s
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Question 1143802: 30 students -26 are right handed, 10 walk to school and 9 of the walkers are right- handed.
Find the probability that a student chosen at random;
i) is left-handed and walks to school
ii) is left-handed, if we know the student walks to school
iii) does not walk to school if we know the student is left-handed Answer by ikleyn(52784) (Show Source):
From this fragment of the condition ". . . 10 walk to school and 9 of the walkers are right-handed"
one may conclude that one (and only one) of 10 walking to school is left-handed.
Therefore, the answer to i) is P = = 0.1 = 10%, and
the answer to ii) is P = = 0.1 = 10%.
Next, since of 30 students 26 are right-handed (given), it means that 4 = 30-26 are left-handed.
Of these 4 left-handed, only one walks to school, as we established ABOVE.
Hence, the rest 4-1 = 3 left-handed do not walk to school, giving answer to iii) :
P (does not walk to school if we know the student is left-handed) = = = 0.1 = 10%.
All questions are answered -- the problem is solved.