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A coin is tossed and a die is rolled sim...

A coin is tossed and a die is rolled simultaneously.
(i) Condition for event A: To get a head and an odd number.
(ii) Condition for event B : To get a head or a tail and an even number.

Text Solution

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The sampe 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`
`therefore` If a coin is tossed and a die is rolled simultaneously, the sample space
`S={H1,H2,H3,H4,H5,H6, T1,T2,T3,T4,T5,T6}`
`therefore n(S) =12`
(i) Condition for event A : To get a head and an odd number.
`therefore A={J1. J5}`
`therefore n(A)=3.`
(ii) Condition for event B: To get a head or tail and an even number.
`thereforeB={H2,H4,H6,T2,T4,T6}`
`therefore n(B)=6.`
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