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CBSE 9th Mathematics Worksheet - Probability

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Answer the following

1. A bag contains 50 coins and each coin marked from 51 to 100. One coin is
picked up at random. The probability that the number on the coin is not a prime
number is…………………

2. 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.

3. The record of a weather station shows that out of the past 250 consecutive days,
its weather forecast correct 175 times. What is the probability that on a given
day.
(i) it was correct.
(ii) it was not correct.

4. A die having six faces is tossed 80 times and the data is as below:

Outcome    1      2      3     4      5   6
Frequency 10    20    10   28    8   4
Find (i) P (1) (ii) P (4) (iii) P (6) (iv) P (5).

5. The blood groups of 30 students of class IX are recorded as follows:
A,
B,
O,
O,
AB,
O,
A,
O,
B,
A,
O,
B,
A,
O,
O,
A,
AB,
O,
A,
A,
O,
O,
AB,
B,
A,
O,
B,
A,
B,
O
A student is selected at random from the class from blood donation. Find the probability that the blood groups of the student chosen is:
(i) A (ii) B (iii) AB (iv) O

6. Given below is the frequency distribution of wages (in Rs.) of 30 workers in a certain factory


Wages
(in Rs.)            110-130     130-150      150-170     170-190    190-210    210-230    230-250

No. of
workers                 3               4                  5                6                5               4               3
A worker is selected at random. Find the probability that his wages are:

(i) less than Rs. 150

(ii) at least Rs. 210

(iii) more than or equal to 150 but less than 210.

7. Three coins tossed simultaneously 100 times with the following frequencies of
different outcomes.
Out come           No head one head        two head three head
Frequency               14 38               36 12
If the coin tossed again then find the probability.
(i) two heads coming up
(ii) 3 heads coming up
(iii) getting more tails than heads
(iv) at least one head coming up
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