devontemiles1174
10.09.2021 •
Mathematics
Which equation best describes the data in the table?
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Ответ:
The sample space of events that represent the picking out of letters at two draw without replacing is:
{T-I, T-M, T-E, I-T, I-M, I-E, E-T, E-M, E-I, M-I, M-T, M-E}
Step-by-step explanation:
Since, there are four choice of drawing a first tile:
T I M E
and now:
If first tile is drawn as T then the outcome corresponding to T on second draw are:T-I T-M T-E
(T-T is not possible since there is no replacement of first tile )
Similarly if I is drawn on first draw then the outcome corresponding to I in second draw is:I-T I-M I-E
(I-I is not possible since there is no replacement of first tile )
If M is drawn on first draw then the outcome corresponding to M in second draw is:M-T M-I M-E
(M-M is not possible since there is no replacement of first tile )
Now if E is drawn on first draw then the outcome corresponding to E in second draw is:E-T E-I E-M
(E-E is not possible since there is no replacement of first tile )
Hence, total outcomes are:
{T-I, T-M, T-E, I-T, I-M, I-E, E-T, E-M, E-I, M-I, M-T, M-E}