a number is selected at random from 50 natural numbers. find the probability that it is a multiple of 3 and 4
Answers
Let s be the sample space
n(s)=50
Let A be the event that the number drawn is a .multiple of 3 and 4
A={3,6,9,12,15,18,21,24,27,30,33,36,39,42,45,48,4,8,16,20,28,32,40,44}
n(A)=24
p(A)= n(A)/n(s)
= 24/50
=12/25
Therefore,the probability that the number selected randomly from 50 natural numbers is a multiple of 3 and 4 is12/25.
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X________X
Answer:
Step-by-step explanation:
A mutiple of 3 and 4 is also a mutiple of 12. So out of 50 natural numbers we can find [50/12] integers that are a multiple of 12, where [ ] represents the greatest integer function. we can therefore find 4 integers that are mutiples of 12.
the probability is therefore equal to
4/50 = 2/25, where 4 are the likely outcomes and 50 are the possible outcomes.