Is it possible to construct an unfair die such that probability of getting a six is 1 2 , while that of getting any other number is 1 6

Given that: Probability of getting a six = 1 2 Probability of getting 1 , 2 , 3 , 4 , 5 and 6 each is equal to 1 6 Here sum of probabilities of all events = 1 6 + 1 6 + 1 6 + 1 6 + 1 6 + 1 2 = 5 6 + 1 2 = 5 + 3 6 = 8 6 = 4 3 ≠ 1 So, construction of such on unfair die is not possible.

Is it possible to construct an unfair die such that probability of getting a six is 1 2 , while that of getting any other number is 1 6

Given that: Probability of getting a six = 1 2 Probability of getting 1 , 2 , 3 , 4 , 5 and 6 each is equal to 1 6 Here sum of probabilities of all events = 1 6 + 1 6 + 1 6 + 1 6 + 1 6 + 1 2 = 5 6 + 1 2 = 5 + 3 6 = 8 6 = 4 3 ≠ 1 So, construction of such on unfair die is not possible.

E M B I B E

Understanding ISC Mathematics Class 12 Volume 2>Chapter 10 - Probability>CHAPTER TEST>Q 9

EASY

12th ICSE

IMPORTANT

Earn 100

Is it possible to construct an unfair die such that probability of getting a six is $\frac{1}{2}$ , while that of getting any other number is $\frac{1}{6}$

Important Questions on Probability

EASY

12th ICSE

IMPORTANT

Understanding ISC Mathematics Class 12 Volume 2>Chapter 10 - Probability>CHAPTER TEST>Q 10

From each of the four married couples one of the partners is selected at random. Find the probability that the selected are of the same sex.

EASY

12th ICSE

IMPORTANT

Understanding ISC Mathematics Class 12 Volume 2>Chapter 10 - Probability>CHAPTER TEST>Q 11

What is the probability that a couple's second child will be a boy, given that the first child is a girl?

EASY

12th ICSE

IMPORTANT

Understanding ISC Mathematics Class 12 Volume 2>Chapter 10 - Probability>CHAPTER TEST>Q 12

Find the probability that when a hand of $7$ cards is drawn from a well-shuffled pack of $52$ cards. It contains all kings.

EASY

12th ICSE

IMPORTANT

Understanding ISC Mathematics Class 12 Volume 2>Chapter 10 - Probability>CHAPTER TEST>Q 12

Find the probability that when a hand of

7

cards is drawn from a well-shuffled pack of

52

Cards. It contains exactly 3 kings.

EASY

12th ICSE

IMPORTANT

Understanding ISC Mathematics Class 12 Volume 2>Chapter 10 - Probability>CHAPTER TEST>Q 12

Find the probability that when a hand of

7

cards is drawn from a well-shuffled pack of

52

cards. It contains at least

3

kings.

EASY

12th ICSE

IMPORTANT

Understanding ISC Mathematics Class 12 Volume 2>Chapter 10 - Probability>CHAPTER TEST>Q 13

Four married couples have gathered in a room. Two persons are selected at random from amongst them. Probability that the selected persons are a husband and his wife is

\frac{a}{b}

, where

a & b

are smallest positive integers. Find

b - a

.

EASY

12th ICSE

IMPORTANT

Understanding ISC Mathematics Class 12 Volume 2>Chapter 10 - Probability>CHAPTER TEST>Q 13

Four married couples have gathered in a room. Two persons are selected at random from amongst them. Find the probability that the selected persons are a gentleman and a lady but not a couple.

MEDIUM

12th ICSE

IMPORTANT

Understanding ISC Mathematics Class 12 Volume 2>Chapter 10 - Probability>CHAPTER TEST>Q 14

A bag contains