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