ScottyBertagnolli802idn
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A bag of fruit contains 4 apples, 1 plum, 2 apricots, and 3 oranges. Pieces of fruit are drawn twice with replacement. What is P(apple, then apricot) A.4/5 B.2/25 C.3/25 D.3/5

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Since there is replacement, drawings are independent which means that the result of one of them does not affect the others.
Probability of drawing an apple is 4/10 (4 apple out of 10 fruits)
Probability of drawing an apricot is 2/10
Probability on one happening consecutively to the other (thanks to independence) is 4/10*2/10=8/100
Which can be simplified to 2/25

Probability of getting an apple then apricot is option (B) [tex]\frac{2}{25}[/tex]

What is probability?

Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur.

Number of apple in the bag = 4

Number of plum in the bag = 1

Number of apricots in the bag = 2

Number of orange in the bag = 3

Total number of fruits in the bag = 10

Here a piece of fruits are drawn twice with replacement

Therefore first event and second events are independent

Probability = Number of favorable outcome / Total outcome

Probability of getting apple = [tex]\frac{4}{10} =\frac{2}{5}[/tex]

Probability of getting apricot = [tex]\frac{2}{10} =\frac{1}{5}[/tex]

Probability of getting apple then apricot = Probability of getting apple × Probability of getting apricot

Probability of getting apple then apricot= [tex](\frac{2}{5})(\frac{1}{5})=\frac{2}{25}[/tex]

Hence, the probability of getting an apple then apricot is option (B) [tex]\frac{2}{25}[/tex]

Learn more about probability here

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