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A box contains different colored paper clips. The probability of drawing two red paper clips from the box without replacement is 1/7 , and the probability of drawing one red paper clip is 2/5 . What is the probability of drawing a second red paper clip, given that the first paper clip is red?


2/35
1/6
2/3
5/14

Respuesta :

2/5 * P(2nd red) = 1/7
P(2nd Red) = 1/7 * 5/2
P(2nd Red) = 5/14 or D

The probability of drawing a second red paper clip is option 5/14.

What is probability?

Probability deals with the occurrence of a random event. The chance that a given event will occur. It is the measure of the likelihood of an event to occur.The value is expressed from zero to one.

For the given situation,

The probability of drawing two red paper clips from the box without replacement = 1/7

The probability of drawing one red paper clip = 2/5

Let the probability of drawing another red paper clip be x.

⇒ [tex]P(first red)[/tex] × [tex]P(second red)[/tex] = [tex]P(two red)[/tex]

⇒ [tex](\frac{2}{5} )x=\frac{1}{7}[/tex]

⇒ [tex]x=(\frac{1}{7} )(\frac{5}{2} )[/tex]

⇒ [tex]x=\frac{5}{14}[/tex]

Hence we can conclude that the probability of drawing a second red paper clip is option 5/14.

Learn more about probability here

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