Answer:
(a) 3/28
(b) 5/28
(c) 5/7
Step-by-step explanation:
(a) To find 3/8 ths of 2/7, multiply the fractions:
[tex]\implies \dfrac38 \textsf{ of } \dfrac27=\dfrac27 \times \dfrac38=\dfrac{2 \times3}{7 \times8}=\dfrac{6}{56}=\dfrac{3}{28}[/tex]
(b) The sum of the probabilities of all possible outcomes is 1.
Therefore, if 3/8 of the children are girls, then 1 - 3/8 are boys:
[tex]\implies 1-\dfrac38=\dfrac88-\dfrac38=\dfrac{8-3}{8}=\dfrac58 \textsf{ of children are boys}[/tex]
So again, multiply 5/8 by 2/7 to find 5/8ths of 2/7:
[tex]\implies \dfrac58 \textsf{ of } \dfrac27=\dfrac27 \times \dfrac58=\dfrac{2 \times5}{7 \times8}=\dfrac{10}{56}=\dfrac{5}{28}[/tex]
(c) The sum of the probabilities of all possible outcomes is 1.
Therefore, if 2/7 of the people watching the football game are children, then 1 - 2/7 are not children:
[tex]\implies 1-\dfrac27=\dfrac77-\dfrac27=\dfrac{7-2}{7}=\dfrac57 \textsf{ of people watching the football are NOT children}[/tex]
