Short Answer TypeOn a particular day, the number of vehicles passing through a crossing is given below:
|
Vehicle |
Frequency |
|
Two-wheeler |
57 |
|
Three-wheeler |
33 |
|
Four-wheeler |
30 |
A particular vehicle is chosen at random. What is the probability that it is not a four-wheeler?
30 plants were planted in each school out of 12 schools. After a month the number of plants that survived are given below:
|
School |
Number of plants survived |
|
1 |
22 |
|
2 |
15 |
|
3 |
12 |
|
4 |
24 |
|
5 |
27 |
|
6 |
10 |
|
7 |
13 |
|
8 |
22 |
|
9 |
17 |
|
10 |
9 |
|
11 |
20 |
|
12 |
25 |
What is the probability of survival of
(i) more than 20 plants in a school?
(ii) less than 10 plants in a school?
(iii) exactly 22 plants in a school?
The percentages of marks obtained by a student in examination are given below:
|
Examination subjects |
% marks |
|
I |
58 |
|
11 |
64 |
|
III |
76 |
|
IV |
62 |
|
V |
85 |
Find the probability that the student gets
(i) a first class i.e. at least 60% marks
(ii) a distinction i.e. 75% or above
(ii) marks between 70% and 80%.
At a hospital, a doctor compiled the following data about 400 patients whom he could cure of hepatitis:
|
Time for cure |
No. of patients |
|
< 1 month |
210 |
|
1–2 months |
105 |
|
2-3 months |
60 |
|
> 3 months |
25 |
Another case of hepatitis is reported. What is the probability that this patient will be cured in
(i) less than 2 months?
(ii) 1 month or more but not more than 3 months?
An insurance company selected 1600 drivers at random in a particular city to find a relationship between age and number of accidents. The data obtained are given in the following table:
|
No. of accidents (in one year) |
|||||
|
Age of drivers (in years) |
0 |
1 |
2 |
3 |
More than 3 |
|
18–25 |
320 |
125 |
75 |
45 |
30 |
|
25-40 |
400 |
45 |
50 |
15 |
10 |
|
40-55 |
150 |
85 |
13 |
8 |
10 |
|
Above 55 |
150 |
25 |
17 |
20 |
7 |
Find the number of drivers
(a) in the age of 25–40 years and has more than 2 accidents in the year.
(b) the age is above 40 years and has accidents more than 1 but less than 3.
On a busy road, following data was observed about cars passing through it and number of occupants
|
No. of occupants |
No. of cars |
|
1 |
29 |
|
2 |
26 |
|
3 |
23 |
|
4 |
17 |
|
5 |
5 |
Suppose another car passes by. Find the chance that it has
(i) exactly 5 occupants
(ii) more than 2 occupants (iii) less than 5 occupants.
The king, queen and jack of clubs are removed from a deck of 52 cards and then well shuffled. One card is selected at random from the remaining cards. Find the probability of getting
(a) a heart
(b) a king
(c) the 10 of hearts.
A coin is tossed 1000 times with the following frequencies:
Head: 455, Tail: 545
Compute the probability for each event.
Two coins are tossed simultaneously 500 times, and we get
Two heads: 105 times
One head: 275 times
No head: 120 times
Find the probability of occurrence of each of these events.
A dice is thrown 1000 times with the following frequencies for the outcomes 1, 2, 3, 4, 5 and 6 given in the following table:
Table
|
Outcome |
1 |
2 |
3 |
4 |
5 |
6 |
|
Frequency |
179 |
150 |
157 |
149 |
175 |
190 |
Find the probability of the happening of each outcome.
