Question

gift baskets the gift basket store has the following premade gift baskets containing the following combinations in stock. cookies mugs candy coffee 15 19 25 tea 22 25 22 send data to excel choose 1 basket at random. find the probability that it contains the following combinations. enter your answers as fractions or as decimals rounded to 3 decimal places. part: 0 / 3 part 1 of 3 (a) tea or mugs ( p ) (tea or mugs) ( = )

Explanation:

Step1: Calculate total number of baskets

Sum all the values in the table: \(15 + 19+25 + 22+25 + 22=\sum_{i = 1}^{6}x_{i}=128\)

Step2: Calculate number of tea - related baskets

Number of tea - related baskets: \(22+25 + 22 = 69\)

Step3: Calculate number of non - tea mugs

Number of non - tea mugs (coffee mugs): \(19\)

Step4: Use the formula for \(P(A\cup B)=P(A)+P(B)-P(A\cap B)\)

Here \(A\) is the event of “tea” and \(B\) is the event of “mugs”. \(P(A)=\frac{69}{128}\), \(P(B)=\frac{19 + 25}{128}=\frac{44}{128}\), \(P(A\cap B)=\frac{25}{128}\)

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Answer:

\(0.688\)