NCERT Class 10 Mathematics Probability Formative Assessment CBSE Board Sample Problems (For CBSE, ICSE, IAS, NET, NRA 2022)

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Probability Formative assessment

Question 1

Anil bags contain 5 red marbles, 8 white marbles and 4 green marbles. One marble is taken out of the box at random. What is the probability that the marble taken out will be

(i) Red

(ii) White

(iii) Not green

Solution

a) Total possible outcome is

No of outcome favoring event (red) = 4

So

b) Total possible outcome is

No of outcome favoring event (white) = 8

So

c) Total possible outcome is

No of outcome favoring event (Not green)

So

True or False statement

Question 2

A piggy bank contains two hundred 5Op coins, fifty Re 1 coins, twenty ₹ 5 coins and ten ₹ 10 coins. If it is equally likely that one of the coins will fall out when the bank is turned Upside down

a) The probability that the coin will be 50p is

b) Total possible outcome is any case is 280

c) The probability that coin will not be Rs5 coin is

d) The events getting 50-paisa coin, 1 ₹ coin, ₹ 5 coin and ₹ 10 coin are elementary event

e) The probability of getting ₹ 20 coin is 1

f) The probability of getting coin less than ₹ 20 is 1

g) The probability of getting ₹ 1 coin is

Solution

a) True

Total outcome

Favorable outcome

So

b) True

c) True

Favorable outcome

d) False as the favorable outcome are more than 1

e) False it is 0 as It is a impossible event

f) True

g) True

Favorable outcome

Multiple-choice Questions

Question 3

The probability of the events lies between

a)

b)

c)

d)

Solution (b)

Question 4

A bag contains 40 balls out of which some are red, some are blue, and remaining are black. If the probability of drawing a red ball is and that of blue ball is , the number of black ball is

a) 11

b) 10

c) 5

d) None of these

Solution (b)

P (Red) Number of red ball

P (Blue) Number of blue baIl

Number of black baIl

Question 5

An unbiased die is thrown. Which of the following is false

a) P (odd number)

b) P (even number)

c) P (square number)

d) None of these

Solution (d)

Question 6

Which of the following cannot be the probability of an event?

a) 0

b)

c)

d)

Solution (c)

Question 7

Probability of an event E + Probability of the event ‘not E’

a) 0

b) 1

c) Insufficient data

d) None of these

Solution (b)

Match the column

One card is drawn from a well-shuffled deck of 52 cards

 Probability of getting of king of red color Probability of getting A black face card Probability of getting the jack of hearts Probability of getting the queen of diamonds Probability of getting either black or a queen

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