हिंदी

Two dice are thrown. The events A, B and C are as follows: A: getting an even number on the first die. B: getting an odd number on the first die. C: getting the sum of the numbers on the dice ≤ 5 - Mathematics

Advertisements
Advertisements

प्रश्न

Two dice are thrown. The events A, B and C are as follows:

A: getting an even number on the first die.

B: getting an odd number on the first die.

C: getting the sum of the numbers on the dice ≤ 5

State true or false: (give reason for your answer).

A = B'

विकल्प

  • True

  • False

MCQ
सत्य या असत्य

उत्तर

This statement is True.

Reason:

B’ = Odd number on the first dice

= No odd number on the first dice

= Even number on the first dice

= A 

shaalaa.com
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 16: Probability - Exercise 16.2 [पृष्ठ ३९३]

APPEARS IN

एनसीईआरटी Mathematics [English] Class 11
अध्याय 16 Probability
Exercise 16.2 | Q 7.3 | पृष्ठ ३९३

वीडियो ट्यूटोरियलVIEW ALL [1]

संबंधित प्रश्न

A die is rolled. Let E be the event “die shows 4” and F be the event “die shows even number”. Are E and F mutually exclusive?


An experiment involves rolling a pair of dice and recording the numbers that come up. Describe the following events:

A: the sum is greater than 8, B: 2 occurs on either die

C: The sum is at least 7 and a multiple of 3.

Which pairs of these events are mutually exclusive?


Three coins are tossed. Describe three events which are mutually exclusive and exhaustive.


Three coins are tossed. Describe two events which are mutually exclusive but not exhaustive.


Two dice are thrown. The events A, B and C are as follows:

A: getting an even number on the first die.

B: getting an odd number on the first die.

C: getting the sum of the numbers on the dice ≤ 5

State true or false: (give reason for your answer)

A and B are mutually exclusive and exhaustive


Two dice are thrown. The events A, B and C are as follows:

A: getting an even number on the first die.

B: getting an odd number on the first die.

C: getting the sum of the numbers on the dice ≤ 5

State true or false: (give reason for your answer)

 A and C are mutually exclusive


Two dice are thrown. The events A, B and C are as follows:

A: getting an even number on the first die.

B: getting an odd number on the first die.

C: getting the sum of the numbers on the dice ≤ 5

State true or false: (give reason for your answer)

A and B' are mutually exclusive


Two dice are thrown. The events A, B and C are as follows:

A: getting an even number on the first die.

B: getting an odd number on the first die.

C: getting the sum of the numbers on the dice ≤ 5

State true or false: (give reason for your answer)

A' , B' ,C are mutually exclusive and exhaustive.


Given P(A) = `3/5` and P(B) = `1/5`. Find P(A or B), if A and B are mutually exclusive events.


Events E and F are such that P(not E or not F) = 0.25, State whether E and F are mutually exclusive.


Three coins are tossed. Describe.  two events A and B which are mutually exclusive.


Three coins are tossed. Describe. three events AB and C which are mutually exclusive and exhaustive.


Three coins are tossed. Describe.

(iv) two events A and B which are mutually exclusive but not exhaustive.

 

Two dice are thrown. The events ABCDE and F are described as :
A = Getting an even number on the first die.
B = Getting an odd number on the first die.
C = Getting at most 5 as sum of the numbers on the two dice.
D = Getting the sum of the numbers on the dice greater than 5 but less than 10.
E = Getting at least 10 as the sum of the numbers on the dice.
F = Getting an odd number on one of the dice.
 Describe the event:
A and BB or CB and CA and EA or FA and F


If A and B be mutually exclusive events associated with a random experiment such that P(A) = 0.4 and P(B) = 0.5, then find 

P (A ∪ B)


Given two mutually exclusive events A and B such that P(A) = 1/2 and P(B) = 1/3, find P(A or B).


From a well shuffled deck of 52 cards, 4 cards are drawn at random. What is the probability that all the drawn cards are of the same colour.


A box contains 10 white, 6 red and 10 black balls. A ball is drawn at random from the box. What is the probability that the ball drawn is either white or red?


In a race, the odds in favour of horses ABCD are 1 : 3, 1 : 4, 1 : 5 and 1 : 6 respectively. Find probability that one of them wins the race.


If A and B are mutually exclusive events such that P(A) = 0.35 and P(B) = 0.45, find P(A ∩ B)     


If ABC are three mutually exclusive and exhaustive events of an experiment such that 3 P(A) = 2 P(B) = P(C), then P(A) is equal to 


An experiment has four possible outcomes A, B, C and D, that are mutually exclusive. Explain why the following assignments of probabilities are not permissible:

P(A) = `9/120`, P(B) = `45/120`, P(C) = `27/120`, P(D) = `46/120`


If A, B, C are three mutually exclusive and exhaustive events of an experiment such that 3P(A) = 2P(B) = P(C), then P(A) is equal to ______.


A die is loaded in such a way that each odd number is twice as likely to occur as each even number. Find P(G), where G is the event that a number greater than 3 occurs on a single roll of the die.


If A and B are mutually exclusive events, P(A) = 0.35 and P(B) = 0.45, find P(A′)


If A and B are mutually exclusive events, P(A) = 0.35 and P(B) = 0.45, find P(A ∩ B′)


If A and B are mutually exclusive events, P(A) = 0.35 and P(B) = 0.45, find P(A′ ∩ B′)


One of the four persons John, Rita, Aslam or Gurpreet will be promoted next month. Consequently the sample space consists of four elementary outcomes S = {John promoted, Rita promoted, Aslam promoted, Gurpreet promoted} You are told that the chances of John’s promotion is same as that of Gurpreet, Rita’s chances of promotion are twice as likely as Johns. Aslam’s chances are four times that of John. If A = {John promoted or Gurpreet promoted}, find P(A).


The probability of happening of an event A is 0.5 and that of B is 0.3. If A and B are mutually exclusive events, then the probability of neither A nor B is ______.


If the events A and B are mutually exclusive events such that P(A) = `(3x + 1)/3` and P(B) = `(1 - x)/4`, then the set of possible values of x lies in the interval ______.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×