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Fruit Selection On a lunch counter, there are 3 oranges. 5
Chapter 4, Problem 45CQ(choose chapter or problem)
On a lunch counter, there are 3 oranges. 5 apples, and 2 bananas. If 3 pieces of fruit are selected, find the probability that 1 orange, 1 apple, and 1 banana are selected.
Questions & Answers
QUESTION:
On a lunch counter, there are 3 oranges. 5 apples, and 2 bananas. If 3 pieces of fruit are selected, find the probability that 1 orange, 1 apple, and 1 banana are selected.
ANSWER:Step 1 of 2
We have to find the probability of selecting 1 orange, 1 apple, and 1 banana
There are 3 oranges, 5 apples, and 2 bananas
The total no.of fruits = 3 + 5 + 2
= 10
The no.of ways of selecting 3 fruits from all the fruits
\(\begin{array}{l} ={ }_{10} C_{3} \\ =120 \end{array}\)
The no.of ways of selecting 1 orange, 1 apple, and 1 banana is
\(\left(\begin{array}{l} 3 \\ 1 \end{array}\right) \times\left(\begin{array}{l} 5 \\ 1 \end{array}\right) \times\left(\begin{array}{l} 2 \\ 1 \end{array}\right)=30\)