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QuestionFind the probability of selecting an apple or a plum from a basket containing 8 apples, 4 oranges, 3 bananas, 6 plums, and 11 nectarines. Calculate PP (apple or plum).

Studdy Solution

STEP 1

Assumptions1. There are8 apples,4 oranges,3 bananas,6 plums, and11 nectarines in the basket. . One piece of fruit is chosen at random.
3. Each piece of fruit has an equal chance of being chosen.

STEP 2

First, we need to find the total number of fruits in the basket. We can do this by adding the number of each type of fruit.
Total fruits=Apples+Oranges+Bananas+Plums+NectarinesTotal\, fruits = Apples + Oranges + Bananas + Plums + Nectarines

STEP 3

Now, plug in the given values for the number of each type of fruit to calculate the total number of fruits.
Total fruits=8++3+6+11Total\, fruits =8 + +3 +6 +11

STEP 4

Calculate the total number of fruits in the basket.
Total fruits=8+4+3+6+11=32Total\, fruits =8 +4 +3 +6 +11 =32

STEP 5

To find the probability of choosing an apple or a plum, we need to find the total number of apples and plums. We can do this by adding the number of apples to the number of plums.
Apples or Plums=Apples+PlumsApples\, or\, Plums = Apples + Plums

STEP 6

Plug in the given values for the number of apples and plums.
Apples or Plums=8+6Apples\, or\, Plums =8 +6

STEP 7

Calculate the total number of apples and plums.
Apples or Plums=+6=14Apples\, or\, Plums = +6 =14

STEP 8

Now, we can find the probability of choosing an apple or a plum. The probability of an event is the number of ways that event can occur divided by the total number of outcomes. In this case, the event is choosing an apple or a plum, and the total number of outcomes is the total number of fruits.
(Apple or Plum)=Apples or PlumsTotal fruits(Apple\, or\, Plum) = \frac{Apples\, or\, Plums}{Total\, fruits}

STEP 9

Plug in the values for the number of apples or plums and the total number of fruits to calculate the probability.
(Apple or Plum)=1432(Apple\, or\, Plum) = \frac{14}{32}

STEP 10

implify the fraction to get the probability.
(Apple or Plum)=1432=716(Apple\, or\, Plum) = \frac{14}{32} = \frac{7}{16}The probability of choosing an apple or a plum is 716\frac{7}{16}.

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