Probability (Quiz) Level - 2

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1. Two coins are tossed simultaneously. The probability of getting exactly one head is :
$$\begin{array}{l}(a)\frac{1}{4}(b)\frac{1}{2}\\ (c)\frac{3}{4}(d)\frac{1}{3}\end{array}$$
choose one (a) (b) (c) (d)

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2. From a well shuffled pack or cards, a card is drawn at random. The probability of getting a black queen is:
$$\begin{array}{l}(a)\frac{1}{52}(b)1\\ (c)\frac{1}{26}(d)\frac{1}{13}\end{array}$$
choose one (a) (b) (c) (d)

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3. If P (E) = 0.05. Then the probability of ‘not E' is :
choose one 95 0 9.5 0.95

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4. When two coins are tossed simultaneously; then the probability of getting no head is :
$$\begin{array}{l}(a)\frac{1}{4}(b)\frac{4}{3}\\ (c)\frac{1}{2}(d)\frac{3}{4}\end{array}$$
choose one (a) (b) (c) (d)

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5. In a single throw of a pair or dice, the probability of getting the sum a perfect square is:
$$\begin{array}{l}(a)\frac{1}{6}(b)\frac{1}{9}\\ (c)\frac{7}{36}(d)\frac{5}{36}\end{array}$$
choose one (a) (b) (c) (d)

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6. Someone is asked to choose a number from 1 to 100. The probability of it being a prime number is:
$$\begin{array}{l}(a)\frac{1}{5}(b)\frac{1}{4}\\ (c)\frac{3}{10}(d)\frac{2}{5}\end{array}$$
choose one (a) (b) (c) (d)

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7. Cards marked with number 3, 4, 5,......... 50 are placed in a box and mixed thoroughly. A card is drawn at random from the box. The probability that the selected card bears a perfect square number is :
$$\begin{array}{l}(a)\frac{3}{25}(b)\frac{7}{50}\\ (c)\frac{1}{6}(d)\frac{1}{8}\end{array}$$
choose one (a) (b) (c) (d)

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8. A card is drawn at random from a well shuffled Pack of 52 playing cards. The probability of getting neither a red card nor a queen is :
$$\begin{array}{l}(a)\frac{1}{2}(b)\frac{6}{13}\\ (c)\frac{11}{26}(d)\frac{7}{13}\end{array}$$ choose one (a) (b) (c) (d)

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9. 20 tickets, on which numbers 1 to 20 are written, are mixed throughly and then a ticket is drawn at random out of them. The probability that the number on the drawn ticket is a multiple of 3 or 7is :
$$\begin{array}{l}(a)\frac{2}{5}(b)\frac{1}{2}\\ (c)\frac{3}{5}(d)\frac{3}{10}\end{array}$$ choose one (a) (b) (c) (d)

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10. Two dice are thrown at the same time and the product of numbers appearing on them is noted. Then the probability of a prime number product is :
$$\begin{array}{l}(a)\frac{7}{36}(b)\frac{5}{36}\\ (c)\frac{2}{9}(d)\frac{1}{6}\end{array}$$ choose one (a) (b) (c) (d)

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11. What is the probability that a number selected from the numbers 1 to 25 is not a prime number when each of the given numbers is equally likely to be selected.
$$\begin{array}{l}(a)\frac{7}{25}(b)\frac{9}{25}\\ (c)\frac{16}{25}(d)\frac{12}{25}\end{array}$$ choose one (a) (b) (c) (d)

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12. One card is drawn at random from a pack or 52 cards. What is the probability that the card drawn is an ace and black.
$$\begin{array}{l}(a)\frac{1}{13}(b)\frac{1}{26}\\ (c)\frac{1}{2}(d)\frac{4}{13}\end{array}$$ choose one (a) (b) (c) (d)

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13. A card is drawn at random from a pack of 52 playing cards. What is the probability that the card drawn is neither an ace nor a king. $$\begin{array}{l}(a)\frac{12}{13}(b)\frac{1}{13}\\ (c)\frac{11}{13}(d)\frac{2}{13}\end{array}$$
choose one (a) (b) (c) (d)

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14. John tosses two different coins simultaneously. What is the probability of getting at least one tail.$$\begin{array}{l}(a)\frac{3}{4}(b)\frac{1}{4}\\ (c)\frac{1}{2}(d)\frac{4}{3}\end{array}$$
choose one (a) (b) (c) (d)

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15. Harry tosses two different coins simultaneously
(say, one is of Re 1 and other of Re 2).
The probability that he gets at least one head is :
$$\begin{array}{l}(a)\frac{4}{3}(b)\frac{1}{2}\\ (c)\frac{1}{4}(d)\frac{3}{4}\end{array}$$ choose one (a) (b) (c) (d)

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