Maria has three red dresses, 2 white dresses, and one blue dress . what is the probability she will wear a blue dress at her party
Answer: The required probability that Maria will wear blue dress at her party is 16.67%.
Step-by-step explanation: Given that Maria has three red dresses, two white dresses and one blue dress.
We are to find the probability that Maria will wear a blue dress at her party.
Let S denotes the sample space of selecting a dress from the collection of Maria and A be the event that Maria wear blue dress at her party.
Then, we have
\(n(S)=3+2+1=6,\\\ (A)=1.\)
Therefore, the probability of event A is given by
\(P(A)=\dfrac{n(A)}{n(S)}=\dfrac{1}{6}=\dfrac{1}{6}\times100\%=16.67\%.\)
Thus, the required probability that Maria will wear blue dress at her party is 16.67%.