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1.
100 students appeared in two examinations. 60 passed the first, 50 passed the other and 30 passed both. Find the probability that a student selected at random has
failed in exactly one.
2.
A card is drawn from a pack of cards. Find the probability that it is an ace or a diamond or a red card.
3.
In an essay competition the odds against competitors A, B, C and D are 2:1, 3:1, 4:1 and 5:1 respectively. Find the probability that one of them wins the competition.
4.
A box contains 6 red, 4 white and 5 black balls. A person draws 4 balls at random. Find the probability that among the four balls, there is at least one of each colour.
5.
3000 people 600 are over 50 years, and 1000 are female. It is known that 30% of the females are over 50 years. What is the probability that a person chosen at
random is either a female or over 50 years?
6.
The probability that Am it will qualify in an exam is 0.05. The probability that Amita will qualify is 0.10. The probability that both will qualify is 0.02. Find the percent
chances of both failing to qualify.
7.
Find the probability that a leap year will contain 53 Tuesdays.
8.
Find the probability that a leap will contain either 53 Tuesdays or 53 Wednesdays
9.
Find the probability that a leap will contain 53 Tuesdays and 53 Wednesdays.
10.
Four cards are drawn from a pack of cards. Find the probability of drawing one card from each suit.