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33 votes
33 votes
Help please i need help

User Steve Yost
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1 Answer

22 votes
22 votes

Answer

a) 0.586

b) 0.897

c) 0.172

Step-by-step explanation

The probability of an event is given as the number of elements in the event divided by the total number of elements in the sample space.

Total number of elements in the sample space = 5 + 17 + 4 + 3 = 29

a) Probability that the student picked at random studied both subjects.

Number of students that studied both subjects = 17

Total number of elements in the sample space = 29

Probability that the student picked at random studied both subjects

= (Number of students that studied both subjects)/(Total number of elements in the sample space)

= (17/29)

= 0.586

b) Probability that the student picked studied at least one of the subjects

Number of students that studied at least one of the subjects = 5 + 17 + 4 = 26

Total number of elements in the sample space = 29

Probability that the student picked studied at least one of the subjects

= (Number of students that studied at least one of the subjects)/(Total number of elements in the sample space)

= (26/29)

= 0.897

c) Probability that the student picked studied only Geography

Number of students that studied only Geography = 5

Total number of elements in the sample space = 29

Probability that the student picked studied only Geography

= (Number of students that studied only Geography)/(Total number of elements in the sample space)

= (5/29)

= 0.172

Hope this Helps!!!

User Komal Gupta
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3.0k points