Three coins are tossed once. Describe the following events associated with this random experiment: `A=` Getting three heads, `B=` Getting two heads and one tail, `C=` Getting three tails `D=` Getting a head on the first coin. i. Which pairs of events are mutually exclusive?

Explanation

S(A)={H,H,H}

S(B)={{T,H,H} {H,T,H} {H,H,T}}

S(C)={T,T,T}

S(D)={{H,H,H} {H,H,T} {H,T,H} {H,T,T}}

Mutually exclusive

A∩B=ϕ , B∩C=ϕ , C∩D=ϕ,
A∩C=ϕ , B∩D= not empty

A∩D= not empty

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