Chapter 2

Algebra 2 Course in Mathematics for the IIT-JEE and Other Engineering Exams · 59 exercises

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) \(5 / 9\)

4 step solution

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) \(3: 2\)

7 step solution

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

6 step solution

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

5 step solution

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) \(1 / 6\)

4 step solution

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) \(1 / 10\)

5 step solution

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) \(1 / 6\)

3 step solution

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) \(1 / 52\)

4 step solution

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) \(\frac{2}{19}\)

3 step solution

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