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Natural numbers from 1 to 30 are written on paper slips and kept in a box. If one slip is taken from the box, a. What is the probability of this number to be even? b What is the probability of this number to be a multiple of 3?c. What is the probability of this number to be a multiple of 3 and 5?d. What is the probability that this number be a natural number? |
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Answer» a. \(\frac{15}{30}=\frac{1}{2}\) b. Multiple of 3 = 10 ∴ The probability to be a multiple of 3 = \(\frac{10}{30}=\frac{1}{30}\) c. The multiples of 3 and 5 are 15 and 30 only ∴ Required probability \(\frac{2}{30}=\frac{1}{15}\) d. The probability to be a natural number = \(\frac{30}{30}=1\) (a)Even no. from 1 to 30=15 P(even no.)=15/30=1/2 (b) Multiple of 3 between 1 to 30=3,6,9,12,15,18,21,24,27,30 P(multiple of 3)=10/30=1/3 (c) Multiple of 3 and 5=15,30 P(multiple of 3 &5)=2/30=1/15 (d)P(natural no.)=30/30=1
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