Eleven bags of wheat flour, each marked 5 kg, actually contained the following weights of flour (in kg):
4.97 5.05 5.08 5.03 5.00 5.06 5.08 4.98 5.04 5.07 5.00
Find the probability that any of these bags chosen at random contains more than 5 kg of flour.
In Q.5, Exercise 14.2, you were asked to prepare a frequency distribution table, regarding the concentration of sulphur dioxide in the air in parts per million of a certain city for 30 days. Using this table, find the probability of the concentration of sulphur dioxide in the interval 0.12 - 0.16 on any of these days
In Q.1, Exercise 14.2, you were asked to prepare a frequency distribution table regarding the blood groups of 30 students of a class. Use this table to determine the probability that a student of this class, selected at random, has blood group AB.
A and B are the only two outcomes of an event. Probability P(A) = 0.72 then what will be the probability P(B) and why?
A survey of 500 families was conducted to know their opinion about a particular detergent powder. If 375 families liked the detergent powder and the remaining families disliked it, find the probability that a family chosen at random
(i) likes the detergent powder
(ii) does not like it.
1500 families with 2 children were released randomly and the following data was recorded:
No. of girls |
No. of families |
0 1 2 |
211 814 475 |
If a family is chosen at random, find the probability that it has
(i) at most one girl
(ii) at least one girl
Out of the past 250 consecutive days, its weather forecasts were correct 175 times.
(i) What is the probability that on a given day it was correct?
(ii) What is the probability that it was not correct on a given day?
A die is rolled 25 times and outcomes are recorded as under:
Outcomes |
Frequency |
1 |
9 |
2 |
4 |
3 |
5 |
4 |
6 |
5 |
1 |
6 |
0 |
It is thrown one more time. Find the probability of getting
(a) an even number
(b) a multiple of 3
(c) a prime number.
A bag contains 5 red balls, 8 white balls, 4 green balls and 7 black balls. If one ball is drawn at random, find the probability that it is
(i) black
(ii) not green.
Cards marked with numbers 2 to 101 are placed in a box and mixed thoroughly. One card is drawn from this box. Find the probability that the number on the card is
(a) a number less than 14
(b) a number which is a perfect square
(c) a prime number less than 20.