Question

if you need a right handed screw from a box containing 20 right handed and 5 left handed screws. what is the probability that you get at least one right handed screw in drawing 2 screws with replacement​

Answer 1

Answer:

baggie oxbow. hauxiwjahz

Answer 2

Answer:

probability of getting at least one right handed screw in drawing 2 screws with replacement​ = 0.96

Step-by-step explanation:

given: there are 20 right handed screws and 5 left handed screws

total 25 screws

to find: probability of getting at least one right handed screw in drawing 2 screws with replacement​

P[event] = $\frac{number\ of \favorable\ cases}{ total \ number \ of\ outcomes}$

here, probability of getting at least one right handed screw in drawing 2 screws with replacement​ = 1 - probability of not getting 2 right handed screws

probability of not getting 2  right handed screws =  $\frac{5}{25}$ ×  $\frac{5}{25}$

P[E] = 1 - $\frac{5}{25}$ ×  $\frac{5}{25}$

         = 1 - $\frac{25}{625}$

         = $\frac{625-25}{625}$

        = $\frac{600}{625}$

        = $\frac{24}{25}$

        = 0.96

probability of getting at least one right handed screw in drawing 2 screws with replacement​ = 0.96