Given:
Personality question = 1,2,3
Intelligence question = 1,2,3,4
Attitude question = 1,2
Find-: what is the probability that the question is an intelligence question OR has an odd number
Sol:
The total number of questions is:
3 Personality, 4 intelligence, and 2 attitudes so the total number of questions is:
[tex]\begin{gathered} =3+4+2 \\ \\ =9 \end{gathered}[/tex]The odd numbers are:
[tex]\begin{gathered} =1,1,1,3,3 \\ \\ \text{ Total 5 questions.} \end{gathered}[/tex]Probability is :
[tex]P=\frac{\text{ Favorable outcome }}{\text{ Total outcome}}[/tex]The probability of an odd number is:
[tex]P=\frac{5}{9}[/tex]The probability of intelligence question of even number is:
[tex]P=\frac{2}{9}[/tex]So required probability is:
[tex]\begin{gathered} =\frac{5}{9}+\frac{2}{9} \\ \\ =\frac{7}{9} \end{gathered}[/tex]Probability is 7/9.
