1) Out of 100 students 70 students like mathematics 40 students like science and 15 students like both mathematics and Science
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Answer:
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Step-by-step explanation:
MATHS
Out of 100 students in a certain class, 70 students like Mathematics, 40 students like Science and 15 students like both Mathematics and Science. A student is selected at random. Find the probability that the student likes Mathematics or Science.
October 15, 2019avatar
Nitish Kanojiya
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ANSWER
Total number of students in the class =100
∴ n(S)=100
Let A be the event that students like Mathematics
∴ n(A)=70
∴ P(A)=
100
70
Let B be the event that students like Science
∴ n(B)=40
∴ P(B)=
100
40
A∩B is the event when students like both Mathematics and Science
∴ n(A∩B)=15
∴ P(A∩B)=
100
15
To find the probability that the student likes Mathematics or Science
P(A∪B)=P(A)+P(B)−P(A∩B)
=
100
70
+
100
40
−
100
15
=
100
70+40−15
=
100
95
=
20
19