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Sue chooses a dress to wear when she goes out with her parents, but she can wear it only if her parents approve. The probability that Sue selects a black dress is 40%. The probability that Sue's parents approve when she chooses a black dress is 30%. What is the probability that Sue chooses a black dress and her parents approve?

Verified Answer :

taskmasters

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%





TSO

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

\(\frac{40}{100} \times\frac{30}{100} = \frac{4}{10}\times \frac{3}{10} = \frac{12}{100}\)

So the probability that Sue chooses a black dress that her parents approve is 12%