Understanding ISC Mathematics Class 12 Volume 2>Chapter 10 - Probability>EXERCISE>Q 17

EASY

12th ICSE

IMPORTANT

Earn 100

A random variable $X$ can take all non-negative integral values and the probability that $X$ takes the value r proportional to $α^{r} (0 < α < 1)$ . Find $P (X = 0)$ .

Important Questions on Probability

EASY

12th ICSE

IMPORTANT

Understanding ISC Mathematics Class 12 Volume 2>Chapter 10 - Probability>CHAPTER TEST>Q 1

Two coins are tossed together. Find P(E|E) if E : no tails appear and F : no heads appear.

MEDIUM

12th ICSE

IMPORTANT

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

Given that the numbers appearing on rolling two dice together are different, what is the probability that the sum of the numbers appearing on the dice is

6

?

EASY

12th ICSE

IMPORTANT

Understanding ISC Mathematics Class 12 Volume 2>Chapter 10 - Probability>CHAPTER TEST>Q 3

Choose the correct answer in each of the following :
If A and B are two events such that

P (A) \neq 0

and

P (B | A) = 1

then

(a) A \subset B (b) B \subset A (c) B = ϕ (d) A = ϕ

.

EASY

12th ICSE

IMPORTANT

Understanding ISC Mathematics Class 12 Volume 2>Chapter 10 - Probability>CHAPTER TEST>Q 3

Choose the correct answer in each of the following:
If A and B are two events such that: If P (A|B) > P(A) then

EASY

12th ICSE

IMPORTANT

Understanding ISC Mathematics Class 12 Volume 2>Chapter 10 - Probability>CHAPTER TEST>Q 3

If

A

and

B

are any two events such that

P (A) + P (B) - P (A and B) = P (A)

then

EASY

12th ICSE

IMPORTANT

Understanding ISC Mathematics Class 12 Volume 2>Chapter 10 - Probability>CHAPTER TEST>Q 4

If

A and B

are independent events and

P (A) = \frac{1}{2}

,

P (B) = \frac{1}{3}

, then find

P (A^{C} \cap B^{C}) .

EASY

12th ICSE

IMPORTANT

Understanding ISC Mathematics Class 12 Volume 2>Chapter 10 - Probability>CHAPTER TEST>Q 5

The probabilities that a husband and wife will be alive

20

years from now are

0.7

and

0.8

. Find that in

20

years, husband will be a widower

MEDIUM

12th ICSE

IMPORTANT

Understanding ISC Mathematics Class 12 Volume 2>Chapter 10 - Probability>CHAPTER TEST>Q 6

An urn contains

4

square pieces,

5

round pieces and

3

triangular pieces. Two pieces are drawn. Find the probability of drawing two different shapes.