This document provides a tutorial on probability problems with examples and solutions. It contains two questions: 1) A coin is tossed 1000 times with 499 heads and 501 tails. The empirical probability of heads is 0.499 and tails is 0.501. The sum of the two probabilities equals 1. 2) In a cricket match, a batswoman hits a boundary 6 times out of 30 balls. The probability that she did not hit a boundary is calculated as 24/30 = 4/5. The document explains how to calculate empirical probabilities from sample data and find the probability of complementary events. It provides the full worked out solutions and explanations.

1. Probability
Problems
Tutorial on Probability
Class 9

2. Quiz
Question 1: A coin is tossed 1000 times; we get
499 times head and 501 times
1) What is the empirical probability of getting
head ?
2) What is the empirical probability of getting
tail?
3) Does the sum of above two probability equals
1?

3. Solution
Total number of trials =1000
No of trails which head came =499
So No of trails where tail came=1000-499=501
a) Now Empirical probability of getting
head=(No of trails which heads
came)/(Total Number of trials)
empirical probability of getting
head=499/1000
So empirical or experimental probability
of getting head P(H) is calculated as
=.499

4. Solution
b) empirical probability of getting tail
=(No of trails which tails came)/(Total
Number of trials)
Sp empirical probability of getting
head=501/1000
So empirical or experimental probability
of getting head P(T) is calculated as
=.501
c) Now P(H) +P(T)= .499+.501=1

5. Question-2
In a cricket match, a batswoman hits a
boundary 6 times out of 30 balls she plays. Find
the probability that she did not hit a boundary.
Solution:
Let P is the event of hitting the boundary
n(P)=6
Let Q be the event of not hitting the boundary
n(Q)= 30- n(P)=24
Probability of not hitting the
boundary= n(Q)/30= 24/30=4/5

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