Question on probability

  • #1
parshyaa
307
19
Can you give a example to differentiate independent events from mutually exclusive events?

Suppose there is a random experiment of rolling a die:

E1 is a event of getting a multiple of 3
E1={3,6}
E2 is a event of getting a multiple of 2
E2={2,4,6}
Is E1&E2 are independent events, here they are not mutually exclusive.
 

Answers and Replies

  • #2
36,100
13,024
Is E1&E2 are independent events, here they are not mutually exclusive.
Calculate the probability of E1, E2 and "E1 and E2" and check it yourself?

Finding two mutually exclusive events should be easy.
 
  • #3
parshyaa
307
19
Calculate the probability of E1, E2 and "E1 and E2" and check it yourself?

Finding two mutually exclusive events should be easy.
P(E1)=1/3, P(E2)= 1/2
P(E1∩E2) = 1/6
This only tells me that they are not mutually exclusive
This does not tell me any thing about independent event
 
  • #5
parshyaa
307
19
What is the condition for independent events?
That is what i am asking?
 
  • #6
36,100
13,024
Definitions are something you should look up.
 

Suggested for: Question on probability

  • Last Post
Replies
1
Views
303
  • Last Post
Replies
1
Views
898
  • Last Post
Replies
1
Views
1K
  • Last Post
Replies
2
Views
629
  • Last Post
Replies
5
Views
630
Replies
1
Views
409
Replies
26
Views
402
  • Last Post
Replies
2
Views
468
Replies
1
Views
62
  • Last Post
Replies
1
Views
463
Top