Probability of the event that is complementary to the event of spinning an even number on the spinner is equals to P(E') = [tex]\frac{3}{5}[/tex].
Probability of drawing a tile labeled X from a box contains letter tiles labeled either X or Y is equals to P(X) [tex]= 10\%.[/tex]
" Probability is defined as the ratio of number of favourable outcomes to the total number of outcomes."
Formula used
Probability = [tex]\frac{Number of favourable outcomes}{total number of outcomes}[/tex]
According to the question,
1. Given,
Possible numbers on spinner [tex]= \{ 1, 2, 3, 4, 5\}[/tex]
Even numbers on spinner 'E' [tex]= \{2, 5\}[/tex]
Substitute the value in the formula to get the required probability ,
Probability of having even number on spinner P (E) = [tex]\frac{2}{5}[/tex]
Complementary event of spinning an even number
P(E') [tex]= 1 -[/tex] P(E)
[tex]= 1 - \frac{2}{5}\\ \\= \frac{3}{5}[/tex]
Hence, Option (C) is the correct answer.
2. Given,
Box contains tiles either X or Y
'X' and 'Y' both are independent
X∩Y [tex]= 0[/tex]
P (X or Y) = P (X) + P(Y)
[tex]\implies 100\% = P(X) + 90\%[/tex]
⇒P(X) [tex]= (100 - 90)\%[/tex]
⇒P(X) [tex]= 10\%[/tex]
Hence, Option (A) is the correct answer.
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