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the following are students' scores in a mathematics test. 9,8, 6,10,7,10,5,6,3,3,4,2,4,2,4,4. What is the probability that a student scored a) 3 marks b) 4 marks c) odd marks d) even marks e) a mark less than 5 ​​



Answer :

Answer:

To find the probabilities, you need to calculate the frequency of each score and then divide by the total number of scores, which is 16 in this case.

Step-by-step explanation:

a) Probability of scoring 3 marks:

There are 2 students who scored 3 marks.

Probability = (Number of students scoring 3 marks) / (Total number of students)

Probability = 2/16 = 1/8

b) Probability of scoring 4 marks:

There are 4 students who scored 4 marks.

Probability = (Number of students scoring 4 marks) / (Total number of students)

Probability = 4/16 = 1/4

c) Probability of scoring odd marks:

Odd marks are 3, 5, 7, 9.

There are 2+1+1+1 = 5 students who scored odd marks.

Probability = (Number of students scoring odd marks) / (Total number of students)

Probability = 5/16

d) Probability of scoring even marks:

Even marks are 2, 4, 6, 8, 10.

There are 2+4+2+1+2 = 11 students who scored even marks.

Probability = (Number of students scoring even marks) / (Total number of students)

Probability = 11/16

e) Probability of scoring a mark less than 5:

Marks less than 5 are 2, 3, and 4.

There are 2+2+4 = 8 students who scored less than 5 marks.

Probability = (Number of students scoring less than 5 marks) / (Total number of students)

Probability = 8/16 = 1/2

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