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For each of the following experiments, w...

For each of the following experiments, write the sample space S and the number of sample points n(S) :
(1) One coin and one die are thrown simultaneously.
(2) Two-digit numbers are formed using digits 2,3 and 5 without repeating the digits.

Text Solution

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(1) 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`
`therefore` 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`
(2) The two-digit numbers formed using digits 2,35
`S={23,25,32,35,52,53}`
`thereforen(S)=6.`
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