The Gift Basket Store had the following premade gift baskets containing the following combinations in stock.CookiesMugsCandyTotalCoffee851124Tea47819TOTAL12121943Choose 1 basket at random. Find the probability that it contains candy and coffee (to three places after the decimal point).

Respuesta :

Answer:

Choosing 1 basket at random, the probability that it contains candy and coffee is;

[tex]P(C\cap Co)=0.256[/tex]

Explanation:

Given the table in the attached image.

Choosing 1 basket at random, the probability that it contains candy and coffee would be;

[tex]P(C\cap Co)=\frac{\text{ number of baskets with candy and coffee}}{\text{ total number of baskets}}[/tex]

Given;

[tex]\begin{gathered} \text{number of baskets with candy and coffee = }11 \\ \text{total number of baskets = 43} \end{gathered}[/tex]

substituting;

[tex]\begin{gathered} P(C\cap Co)=\frac{\text{ number of baskets with candy and coffee}}{\text{ total number of baskets}}=\frac{11}{43} \\ P(C\cap Co)=0.256 \end{gathered}[/tex]

Therefore, Choosing 1 basket at random, the probability that it contains candy and coffee is;

[tex]P(C\cap Co)=0.256[/tex]