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One coin and one die are thrown simultan...

One coin and one die are thrown simultaneously.
Condition for event A: To get a head and an odd number.
Condition for event B : To get a head or a tail and an even number.
Condition for event C : Number on the upper face is greater than 7 and tail on the coin.

Text Solution

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The sample space (for a coin)
`S={H,T}" "thereforen(S)=2.`
The sample space (for a die)
`S=(1,2,3,4,5,6)" "thereforen(S)=6`
if a coin is tossed and a die is thrown simultaneously, the sample space
`S={H1,H2,H3,H4,H5,H6,T1,T2,T3,T4,T5,T6}`
`thereforen(S)=12`
(i) Condition for event A : To get a head and an odd number.
`thereforeA={H1,H3,H5}`
`thereforen(A)=3." "....(2)`
Condition for event B : To get a head or tail and an even number.
`thereforeB={H2,H4,H6,T2,T4,T6}`
`thereforen(B)=6." "...(3)`
(iii) Conditon for event C : Number on the upper face is greater than 7 and tail on the coin.
There is no number greater than 6 on a die.
`thereforeC=phi`
`thereforen(C)=0." "...(4)`
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