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Two coins are tossed simultaneously. Fin...

Two coins are tossed simultaneously. Find the probability of getting
(i) at least one head.
(ii) head on both the coins.

Text Solution

Verified by Experts

Let S be the smape space
Then `S={HH, HT, TH, T T}.`
(i) Let A be the event where at least one heat turns up
Then `A={HH, HT, TH}" "thereforen(A)=3`
`P(A)=(n(A))/(n(S))" " thereforeP(A)=3/4`
The probability is `3/4.`
Let B be the event of getting head on both the coins.
Then `B={HH} " "n(B)=1`
`P(B)=(n(B))/(n(S))" "thereforeP(B)=1/4`
The probability is `1/4.`
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