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A coin is tossed three times. Event A:...

A coin is tossed three times.
Event A: two heads appear
Event B: last should be head
Then identify whether events A and B are independent or not.

Text Solution

Verified by Experts

The correct Answer is:
Not independent
`P(A)=3/8and P(B)=1/2`
`P(A)P(B) =3/8xx1/2=3/16`
`P(Annb)=2/8=1/4neP(A)P(B)`
Hence, A and B aer not independent.
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Knowledge Check

  • Two events A and B are independent then

    A
    A and B are mutually exclusive
    B
    P(A) + P(B) = 1
    C
    `P(AnnB') = P(A).P(B')`
    D
    P(A) = P(B)

  • Two events A and B will be independent if

    A
    A and B are mutually exclusive
    B
    `P(A'B') = [1 - P(A)][1 - P(B)]`
    C
    P(A) = P(B)
    D
    P(A) + P(B) = 1

  • Two events A and B will be independent, if

    A
    A and B are mutually exclusive
    B
    P(A'B') = [1 – P(A)][1 - P(B)]
    C
    P(A) = P(B)
    D
    P(A) + P(B) = 1

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