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1.
One of two events must happen. Given that the chance of one is two-third of the other, find the odds in
favour of the other.
2.
In a class the probability of all the students passing the mathematics examination is 0.8 that of the whole
class passing the Hindi examination is 0.7. If the probability of the whole class passing in at least one of the
two exam is 0.95, then find the probability of not getting any failure in the whole class in both mathematics
and Hindi.
3.
In an entrance test that is graded on the basis of English and general knowledge, the probability of a
randomly chosen student passing both the tests is 0.5 and the probability of passing neither is 0.1. If the
probability of passing the English test is 0.75, then what is the probability of passing the general knowledge
test?
4.
In a lottery of 50 tickets numbered 1 to 50, two tickets are drawn simultaneously. Find the odds in favour
that none of the tickets has a prime number.
5.
There are 9 letters; 5 consonants and 4 vowels. Three letters are chosen at random. What is the probability
of choosing more than one vowel?
6.
A bag contains 50 tickets numbered 51,52,...,100 of which 5 are drawn and arranged in ascending order of
magnitude. Find the probability that the third number is 80.
7.
Four persons are to be chosen from a group of 3 men, 2 women and 4 children. Find the probability of
choosing exactly 2 women.
8.
A bag contains tickets numbered 1 to 30. Three tickets are chosen at random. Find the probability that all
the tickets have two digit numbers.
9.
The letters of the word SOCIETY are arranged at random in a row. What is the probability that the three
vowels come together?
10.
What are the odds in favour that when the letters of the word UNIVERSITY are arranged randomly, the Is
come together?