Question

A box contains 50 pens and 150 pencils. on checking the box it was found that half of pens and pencil are broken. if one item is chosen at random find the probability that is broken​

Answer 1

Answer:

Step-by-step explanation:

no.of pens = 50

no.of pencils = 150

no.of pens broken = 50/2

                                = 25

no.of pencils broken = 150/2

                                    = 75

p(of getting a broken item ) = 150+50/25+75

                                                = 200/100

                                                = 2

i guess this is correct

Answer 2

Answer:

The probability of choosing a broken item is $\frac{1}{2}$

Step-by-step explanation:

Total no. of pens = 50

Total no. of pencils = 150

Therefore, total no. of pens and pencils = 50 + 150

                                                                   = 200

Given that half of the pens and pencils are broken

=> No. of broken pens = $\frac{1}{2}$ * 50

                                      = 25

=> No. of broken pencils = $\frac{1}{2}$ * 150

                                      = 75

Therefore, total no. of broken pens and pencils = 25 + 75

                                                                                = 100

Therefore, probability of a broken item = $\frac{Broken}{Total}$

                                                                  = $\frac{100}{200}$

                                                                  =  $\frac{1}{2}$

Therefore, the probability of choosing a broken item is $\frac{1}{2}$