मराठी

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

Advertisements
Advertisements

प्रश्न

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

बेरीज

उत्तर

Given that P(A) = 0.35 and P(B) = 0.45

Since the events A and B are mutually exclusive then P(A ∩ B) = 0

P(A') = 1 – P(A)

= 1 – 0.35

= 0.65

shaalaa.com
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 16: Probability - Exercise [पृष्ठ २९७]

APPEARS IN

एनसीईआरटी एक्झांप्लर Mathematics [English] Class 11
पाठ 16 Probability
Exercise | Q 7.(a) | पृष्ठ २९७

व्हिडिओ ट्यूटोरियलVIEW ALL [1]

संबंधित प्रश्‍न

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


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


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 = B'


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


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.


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)


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 ( \[\bar{ A} \] ∩ 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 A and B are mutually exclusive events such that P(A) = 0.35 and P(B) = 0.45, find P(\[\bar{ A } \] ∩  \[\bar{B} \] ) 

 


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


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.
Determine P(John promoted)
P(Rita promoted)
P(Aslam promoted)
P(Gurpreet promoted)


Column A Column B
(a) If E1 and E2 are the two mutually exclusive events (i) E1 ∩ E2 = E1
(b) If E1 and E2 are the mutually exclusive and exhaustive events (ii) (E1 – E2) ∪ (E1 ∩ E2) = E1
(c) If E1 and E2 have common outcomes, then (iii) E1 ∩ E2 = Φ, E1 ∪ E2 = S
(d) If E1 and E2 are two events such that E1 ⊂ E2 (iv) E1 ∩ E2 = Φ

Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×