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# A four digit number is formed using the digits 1, 2, 3, 5 with no repetitions. Write the probability that the number is divisible by 5.

Answer :

Given, a four-digit number is formed with the digits 1, 2, 3, 5 with no repetitions. There are as many numbers as there are ways of filling in 4 vacant places.

The no. of ways in which the 4 places can be filled, by multiplication principle, is ways

For the Numbers divisible by 5,

the 4th place can be only filled by 1 way i.e., by 5, the 1^{st} place can be filled by 3 ways (since repetition is not allowed), the second place by 2 ways and the third by 1 way.

total numbers divisible by

P (no. divisible by 5)

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State True or False for the statements in the Exercise.

If A and B are two events such that P(A) > 0 and P(A) + P(B) >1, then

Mathematics - Exemplar

Fill in the blanks in the following question:

If A and B are two events such that

and , then p = _____

Mathematics - ExemplarA speaks truth in 75% of the cases, while B in 90% of the cases. In what percent of cases are they likely to contradict each other in stating the same fact?

Do you think that statement of B is true?

Mathematics - Board Papers