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A die marked 1, 2, 3 in red and 4, 5, 6 in green is tossed. Let A be the event, ‘the number is even,’ and B be the event, ‘the number is red’. Are A and B independent?
Asked by Abhishek Last Modified
Answer 
Probability of getting even number P(A)=3/6=1/2 and probability of getting red colour P(B)=1/2 P(A^B)=1/6 is not equal to P(A)×,P(B)=1/2×1/2=1/4 therefore A and B are not independent
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Nurullmobeen
When a die is thrown, the sample space (S) is
S = {1, 2, 3, 4, 5, 6}
Let A: the number is even = {2, 4, 6}
⇒ 
B: the number is red = {1, 2, 3}
⇒ P(B) =36=12PB =36=12
∴ A ∩ B = {2}
Therefore, A and B are not independent.
read lessRelated Questions
The probability of obtaining an even prime number on each die, when a pair of dice is rolled is
(A) 0 (B) 
(C) 
(D) 
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