10. 'एक फूल की चाह कविता में सुखिया के बीमार होने पर पिता की मनःस्थिति का वर्णन करते
Answers
Answer:
Given:
Alex selects a positive even integer less than 20.
Bob picks a positive multiple of 3 less than 30.
And they both pick the same number.
\begin{gathered} \\ \Large{\bf{To\: Find\::}} \\ \end{gathered}
ToFind:
The probability of given case.
\begin{gathered} \\ \Large{\bf{Solution\::}} \\ \end{gathered}
Solution:
➣ Alex selects a positive even integer less than 20.
Thus,
Favourable outcomes are,
➠ 2, 4, 6, 8, 10, 12, 14, 16, 18
Again,
➣ Bob picks a positive multiple of 3 less than 30.
Thus,
Favourable outcomes are,
➠ 3, 6, 9, 12, 15, 18, 21, 24, 27
Hence,
Total possible outcomes are,
➠ 2, 3, 4, 6, 8, 9, 10, 12, 14, 15, 16, 18, 21, 24, 27
Therefore,
➠ Total no. of possible outcomes = 15
According to the question,
➣ They both pick the same number.
So,
The favourable outcomes are,
➠ 6, 12, 18
Therefore,
➠ Total no. of favourable outcomes = 3
As we know that,
\begin{gathered}\orange\bigstar\:{\Large\mid}\:\bf\purple{Probability\:=\:\dfrac{Total\:no.\:of\: favourable\: outcomes}{Total\:no.\:of\: possible\:outcomes}\:}\:{\Large\mid}\:\green\bigstar \\ \end{gathered}
★∣Probability=
Totalno.ofpossibleoutcomes
Totalno.offavourableoutcomes
∣★
➠ Probability = \begin{gathered}\tt{\dfrac{3}{15}} \\ \end{gathered}
15
3
➠ Probability = \bf\pink{\dfrac{1}{5}}
5
1