What is the probability of getting a no. which is multiple of both $5$ & $7$ between $2$ and $100$ ?

\frac{3}{97}

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\frac{2}{99}

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\frac{3}{99}

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\frac{2}{97}

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Solution

The correct option is B $\frac{2}{97}$
Total Numbers: $97$
Numbers which are multiple of $5$ and $7$ are: $2 \to {35, 70}$
Required probability:
$P = \frac{2}{97}$

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Similar questions

Q. The value of

100^{2} - 99^{2} + 98^{2} - 97^{2} . . . . . . . . . - 3^{2} + 2^{2} - 1^{2}

is:

Q. A number is selected at random from the numbers: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11....................... 95, 96, 97, 98, 99, 100. What is the probability that the sum of digits of the selected number is 10?

The remainder obtained when $(2 + 5^{2} + 6^{3} + 11^{4} + 2^{5} + 5^{6} + 6^{7} + 11^{8} + \dots \dots 2^{97} + 5^{98} + 6^{99} + 11^{100})$ is divided by 5 is

100^{2} - 99^{2} + 98^{2} - 97^{2} + 96^{2} + 95^{2} + . . . . = S

find

S = ?

Q. Find the number of zeroes in:

100^{1} \times 99^{2} \times 98^{3} \times 97^{4} \times \dots 1^{100}

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What is the probability of getting a no. which is multiple of both 5 & 7 between 2 and 100?

The correct option is B 297Total Numbers: 97Numbers which are multiple of 5 and 7 are: 2→{35,70}Required probability:P=297

What is the probability of getting a no. which is multiple of both $5$ & $7$ between $2$ and $100$ ?

The correct option is B $\frac{2}{97}$
Total Numbers: $97$
Numbers which are multiple of $5$ and $7$ are: $2 \to {35, 70}$
Required probability:
$P = \frac{2}{97}$