# Probability – Chapter 15/Model Questions

**Probability – Chapter 15/Expected Questions for CBSE Class 10 Mathematics is about the Model Questions that you can expect for Yearly Examination. Here you can find out practice problems for Class 10 Mathematics.**

**Probability – Chapter 15/Expected Questions for CBSE Class 10 MathematicsModel Questions/Extra Questions for Practice**

**Answer the following:**

**Probability of an impossible event is ————-**

Answer: Zero**The probability of an event which is sure to occur is ————-**

Answer: One**If P(E) = 0.05, what is the probability of ‘not E’?**

Answer: We know that P(E)+ P(not E) = 1

So P(not E) = 1 – P(E) = 1- 0.05 = 0.95**A box contains 6 red balls, 8 blue balls and 4 green balls. One ball is taken out of the box at random. What is the probability that the ball taken out will be**

a) Red

b) Blue

c) Green

Answer:

Total number of balls = 18

P(getting red) = 6/18 = 1/3

P(getting blue) = 8/18 = 4/9

P(getting green) = 4/18 = 2/9**Two coins are tossed simultaneously. What is the probability of getting:**

a) At least one head

b) At most one tail

c) A head and a tail

Answer: Number of all possible outcomes = (H, H), (T, H), (H, T), (T, T)

a) P(getting at least one head)= ¾

b) P(getting at most one tail) = ¾

c) P(a head and a tail) = 2/4 = ½**Which of the following cannot be the probability of an event?**

(0.05, ½, ¾, 5/3)

Answer: 5/3

Probability of an event always lies between 0 and 1.

But 5/3 is greater than 1.**If the probability of winning the game is 0.07, what is the probability of losing the game?**

Answer:

P(losing the game) = 1 – 0.07 = 0.93**What is the probability that a number selected at random from the numbers 1, 2, 3, ———20 is a multiple of 3?**

Answer: Multiples of 3 below 20 are 3, 6, 9, 12, 15, 18.

Total possible outcome = 20

P(getting a multiple of 3) = 6/20 = 3/10**A card is drawn at random from a well shuffled pack of 52 cards. Find the probability of getting a red king?**

Answer:

Number of red kings = 2

P(getting a red king) = 2/52 = 1/26**A single letter is selected at random from the word INDIA. What is the probability that the selected letter is a vowel?**

Answer:

Number of letters = 5

Number of vowels = 2

Required probability = 2/5