a bag contains 50 balls numbered from 1 to 50 . One ball is drawn at random find the probability that the number of the drawn ball is a multiple of 2or 3 or 10.
Answers
Answer:
16
Step-by-step explanation:
probability that ball is multiple of 5 = 5,10,15,20,25,30,35,40,45,50 = 10
probability that ball is multiple of 7 = 7,14,21,28,35,42,49 = 7
probability that ball is multiple of both 5 and 7 i.e. 35 = 1
therfore , probability that a drawn ball is a multiple of 5 or 7 = 10+7-1 = 16
ans. = 16.
Answer:
probability of getting a multiple of 2:
P(A)=25/50
Probability of getting a multiple of 3:
P(B)=16/50
Probability of getting a multiple of 10:
P(C)=5/50
Common probability of getting a multiple of 2 and 3
P(A and B)=8/50
common multiple of 2 and 3
(6,12,18,24,36,42,48)
common probability of getting a multiple of 3 and 10:
P(B and C)= 1/50
common multiple of 3 and 10
(30)
common probability of getting a multiple of 2 and 10
P(A and C)= 5/50
common multiple of 2 and 10
( 10,20,30,40,50)
common probability of getting a multiple of 2,3,10
P(A and B and C)= 1/50
probability that is a multiple of 2,3,10
P(A,B,C) = P(A)+P(B)+P(C)-P(A And B)-P(B and C)-P(A and C)+ P(A and B and C)
= 25/50+16/50+5/50-8/50-1/50-5/50+1/50=33/50