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Problem 19

Two dice are thrown together. The probability that sum of the two numbers will be a multiple of 4 is (a) \(1 / 9\) (b) \(1 / 3\) (c) \(1 / 4\) (d) \(5 / 9\)

Problem 20

One of the two events must occur. If the chance of one is \(2 / 3\) of the other, then odds in favour of the other are (a) \(2: 3\) (b) \(1: 3\) (c) \(3: 1\) (d) \(3: 2\)

Problem 21

Two dice are thrown. The probability that the sum of numbers appearing is more than 10 is (a) \(1 / 18\) (b) \(1 / 12\) (c) \(1 / 6\) (d) None of these

Problem 22

A coin is tossed twice. The probability of getting head both the times is (a) \(1 / 2\) (b) \(1 / 4\) (c) \(3 / 4\) (d) 1

Problem 23

If two balanced dice are tossed once, the probability of the event that the sum of the integers coming on the upper sides of the two dice is 9 is (a) \(7 / 18\) (b) \(5 / 36\) (c) \(1 / 9\) (d) \(1 / 6\)

Problem 24

From 10,000 lottery tickets numbered from 1 to 10,000, one ticket is drawn at random. What is the probability that the number marked on the drawn ticket is divisible by \(20 ?\) (a) \(1 / 100\) (b) \(1 / 50\) (c) \(1 / 20\) (d) \(1 / 10\)

Problem 25

Two dice are thrown. What is the probability that the sum of the faces equals or exceeds \(10 ?\) (a) \(1 / 12\) (b) \(1 / 4\) (c) \(1 / 3\) (d) \(1 / 6\)

Problem 26

When a card is drawn from a well-shuffled pack of cards, what is the probability of getting a queen? (a) \(2 / 13\) (b) \(1 / 13\) (c) \(1 / 26\) (d) \(1 / 52\)

Problem 27

The probability that the 3 cards drawn from a pack of 52 cards are all black is (a) \(\frac{1}{17}\) (b) \(\frac{2}{17}\) (c) \(\frac{3}{17}\) (d) \(\frac{2}{19}\)

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