- What is Probability
- |
- Why we need Probability and what is the use of it
- |
- Terms related to Probability
- |
- Empirical Probability
- |
- Theoretical Probability
- |

- What is Probability
- |
- Why we need Probability and what is the use of it
- |
- Terms related to Probability
- |
- Empirical Probability
- |
- Theoretical Probability
- |

Given below are the **Class 10 Maths** Important Questions for Probability

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)=4/17

b) Total possible outcome is =5+8+4=17

No of outcome favoring event (white) =8

So P(red)=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)=13/17

**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

**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)=11/20 => Number of red ball=40X11/20=22

P(Blue)=1/5 => Number of blue ball=40X1/5=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) 3/2

d) 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)

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 |

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