Two coins are tossed simultaneously

MATHEMATICS · Single correct · CBSE · Mathematics · Probability · Probability

Problem

Two coins are tossed simultaneously. Which one of the following collections of events forms a partition of the sample space? (a) {at least one Head,  exactly one Tail}\{\text{at least one Head},\;\text{exactly one Tail}\} (b) {exactly two Heads,  at most one Tail}\{\text{exactly two Heads},\;\text{at most one Tail}\} (c) {first coin shows Head,  first coin shows Tail}\{\text{first coin shows Head},\;\text{first coin shows Tail}\} (d) {both coins show the same face,  first coin shows Head}\{\text{both coins show the same face},\;\text{first coin shows Head}\}

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