Answer :
Probability is finding how many chances can a certain
thing happen with the given possible outcomes.
Now let’s find the probability that Sue will wear her Black dress.
=> 30 % probability that her parents approve her to wear black dress
=> 40 % probability that Sue will choose black dress
Probalitity = 30/100 and 40/100
=> 1 200 / 10 000
=> 600 / 5 000
=> 6 / 50
=> 3 / 25
Therefore, the probability that sue will wear the black dress is 3/25 or 12%
Now let’s find the probability that Sue will wear her Black dress.
=> 30 % probability that her parents approve her to wear black dress
=> 40 % probability that Sue will choose black dress
Probalitity = 30/100 and 40/100
=> 1 200 / 10 000
=> 600 / 5 000
=> 6 / 50
=> 3 / 25
Therefore, the probability that sue will wear the black dress is 3/25 or 12%
The probability that she chooses a black dress is 40% or 40/100
The probability that her parents approve of the black dress is 30% or 30/100
The probability that she chooses a black dress and her parents approve is the probability of choosing a black dress times the probability of her parents approving of a black dress, which is 40/100 x 30/100
[tex]\frac{40}{100} \times\frac{30}{100} = \frac{4}{10}\times \frac{3}{10} = \frac{12}{100}[/tex]
So the probability that Sue chooses a black dress that her parents approve is 12%
The probability that her parents approve of the black dress is 30% or 30/100
The probability that she chooses a black dress and her parents approve is the probability of choosing a black dress times the probability of her parents approving of a black dress, which is 40/100 x 30/100
[tex]\frac{40}{100} \times\frac{30}{100} = \frac{4}{10}\times \frac{3}{10} = \frac{12}{100}[/tex]
So the probability that Sue chooses a black dress that her parents approve is 12%