# Probability Important Questions for Class 10 Maths

Given below are the Class 10 Maths Important Questions for Probability
a) Concepts questions
b) Calculation problems
c) Multiple choice questions
d) Long answer questions
e) Fill in the blank's

## Link type comprehension

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
Total possible outcome is =5+8+4=17
No of outcome favoring event (red) =4
So $P(red)=\frac {4}{17}$
b) Total possible outcome is =5+8+4=17
No of outcome favoring event (white) =8
So $P(red)= \frac {8}{17}$
c) Total possible outcome is =5+8+4=17
No of outcome favoring event (Not green) =8+15=13
So $P(not \; green)= \frac {13}{17}$

## True or False statement

Question 2
A piggy bank contains two hundred 50p coins, fifty Re 1 coins, twenty Rs 5 coins and tenRs 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 5/7
b) Total possible outcome is any case is 280
c) The probability that coin will not be Rs5 coin is 13/14
d) The events getting 50 paisa coin,1 Rs coin ,Rs 5 coin and Rs 10 coin are elementary event
e) The probability of getting Rs 20 coin is 1
f) The probability of getting coin less than  Rs 20 is 1
g) The probability of getting Rs 1 coin is 5/28
Solution
a) True
Total outcome=280
Favorable outcome=200
So p=200/280=5/7
b) True
c) True
Favorable outcome=260
P=260/280=13/14
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=50
P=50/280=5/28

## Multiple choice Questions

Question 3
The probability of the events lies between
a)$-1 \leq p \leq 1$
b)$0 \leq p \leq 1$
c)$-1 \leq p \leq 0$
d)$-2 \leq p \leq 1$
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 11/20 and that of blue ball is 1/5, The number of black ball is
a) 11
b) 10
c)5
d) None of these
Solution (b)
$P(Red)=\frac {11}{20}$ => Number of red ball=$40 \times \frac {11}{20}=22$
$P(Blue)=\frac {1}{5}$ => Number of blue ball=$40 \times \frac {1}{5}=8$
Number of black ball=40 –( Number of red and blue)=10

Question 5
An unbiased die is thrown. Which of the following is false
a) P( odd number) =1/2
b) P( even number) =1/2
c) P( square number)=1/3
d) None of these
Solution (d)
Question 6
Which of the following cannot be the probability of an event?
a)0
b)1
c)$\frac {3}{2}$
d)$\frac {2}{3}$
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 7/13 probability of getting A black face card 1/52 probability of getting  the jack of hearts 1/2 probability of getting the queen of diamonds 1/26 probability of getting either black or a queen 1