From first 50 natural numbers, a number is selected. What is the probability that the number is a multiple of 6 or 15?
Answers
Answer:
Total number of Outcomes = 50
Favourable outcomes of getting multiple of 6 and 15=
Multiples of 6= 6, 12, 18, 24, 30, 36, 42, 48, 54=8
Multiples of 15= 15, 30, 45=3
P(x) = Favourable outcomes / Total outcomes
P(getting multiple of 3 and 5) =>
=8+3=11
=11/50 is the probability of getting the number as a multiple of 6 or 15
The probability of number is a multiple of 6 or 15 is 1/5.
Definition of probability.
Probability is a metric for determining the possibility of an event occurring. Many things are impossible to forecast with 100% accuracy. Using it, we can only anticipate the probability of an event occurring, i.e. how probable it is to occur.
According to the question:
Multiples of 6 are 6,12,18,24,30,36,42,48.
Multiples of 15 are 15,30,45.
Common term is 30.
Probability of 6multiples is 8/50
Probability of 15multiples is 3/50
Probability of common term is 1/50
So, required probability is, 8/50+3/50-1/50
=10/50
=1/5
Hence, A number that is a multiple of 6 or 15 has a probability of 1/5.
Learn more about probability here,
https://brainly.in/question/37382665?msp_poc_exp=4
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