Out of 100 students from a school 70 students like Math, 40 students like
Science and 15 students like both the subjects. If one student take at
random, find the probability that the student selected is like either Math or
Science.
Answers
Answer:
100/15 = 20/3 ans will be approx 7 maths
Step-by-step explanation:
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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VIDEO EXPLANATION
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
=
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
SHARE
VIDEO EXPLANATION
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
20
19