Exercise 9.1: Probability: Classical, Empirical Approach

Probability: Classical, Empirical Approach

Exercise 9.1

1. You are walking along a street. If you just choose a stranger crossing you, what is the  probability that his next birthday will fall on a sunday?

Solution:

2. What is the probability of drawing a King or a Queen or a Jack from a deck of cards?

Solution:

3. What is the probability of throwing an even number with a single standard dice of six faces?

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4. There are 24 balls in a pot. If 3 of them are Red, 5 of them are Blue and the remaining are Green then, what is the probability of picking out (i) a Blue ball, (ii) a Red ball and (iii) a Green ball?

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5. When two coins are tossed, what is the probability that two heads are obtained?

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6. Two dice are rolled, find the probability that the sum is

i) equal to 1 ii) equal to 4 iii) less than 13

Solution:

7. A manufacturer tested 7000 LED lights at random and found that 25 of them were defective. If a LED light is selected at random, what is the probability that the selected LED light is a defective one.

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8. In a football match, a goalkeeper of a team can stop the goal, 32 times out of 40 attempts tried by a team. Find the probability that the opponent team can convert the attempt into a goal.

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9. What is the probability that the spinner will not land on a multiple of 3?

Solution:

10. Frame two problems in calculating probability, based on the spinner shown here.

Solution:

Answers:

Exercise 9.1

1. 1/7

2. 3/13

3. 1/2

4.(i) 5/24  (ii) 1/8 (iii) 2/3

5. 1/4

6.(i) 0  (ii) 1/12 (iii) 1

7. 1/280

8. 1/5

9. 3/4