Important Questions of Probability Mathematics | Zigya

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 Multiple Choice QuestionsShort Answer Type

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11.

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.

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12.

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

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13.

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. 

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14.

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?

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15.

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.

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16.

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 

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17.

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?

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18.

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.

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19.

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.

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20.

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.

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