There are 15 rolls of film in a box and 3 are defective. Two rolls are to be selected, one after the other. What is the probability of selecting a defective roll followed by another defective roll?

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Answer:

The probability of selecting a defective roll followed by another defective roll = [tex]\frac{1}{35}[/tex]

Step-by-step explanation:

The total number of rolls in a box = 15

The number of defective items = 3

Two rolls are to be selected, one after the other. The probability of selecting a defective roll followed by another defective roll = ?

The probability that the first roll is detective = [tex]\frac{3}{15}[/tex]

The probability that the second roll is detective = [tex]\frac{2}{14}[/tex]

Required probability = [tex](\frac{3}{15} ) (\frac{2}{14} )[/tex]

= [tex]\frac{1}{35}[/tex]