Abatch of 50 parts contains six defects. if two parts are drawn randomly one at a time without replacement, what is the probability that both parts are defective?

we know that

P(both parts defective) = P(1st is defective) * P(2nd is defective)  

Probability of 1st detective:

total parts =50

number of defects =6

so,

P(1st is defective)

Probability of 2nd detective:

total parts =49

number of defects =5

so,

P(2nd is defective)

Probability of both detective:

P(both parts defective) is

...............Answer

c.   x=2.4cm

step-by-step explanation:

similar triangles are triangles which have the same shape but not the same size. this means their angle measures are equal but their side lengths are not instead they are proportional. to solve, we will set up a proportion and solve.

a proportion is two equal ratios set equal to each other. we form the ratios by finding corresponding sides (sides which match to each other on both triangles by their position). out ratios will be one side of the small triangle over the corresponding side on the big triangle as shown below:

.

to solve the proportion, we'll cross multiply by multiplying numerator with denominator across the equal sign.