A shipment of 18 televisions sets contains 3 defective sets. A hotel purchases 8 of these televisions sets. What is the probability that the hotel receives at least one of the defective sets?

85.29%

Step-by-step explanation:

We know 18 televisions sets contains 3 defective sets => 15 TV sets are ok

So the total number of possible ways for the hotel to buy =

At least one of the defective sets, so we need to find the probability for 1 defective sets, 2 defective sets and 3 defective sets.

1. The number of ways  the hotel purchases 8 of these televisions sets but have 1 defective one:

P(1) = * = 6435*3 = 19305

2.  The number of ways  the hotel purchases 8 of these televisions sets but have 2 defective one:

P(2) = * = 5005*3= 15015

3.  The number of ways  the hotel purchases 8 of these televisions sets but have 3 defective one:

P(3) = * = 3003*1 = 3003

So the probability that the hotel receives at least one of the defective sets =

(P(1) + P(2) + P(3) ) / P = (19305 +15015 + 3003 ) / 43785*100% = 85.29%

not only in mathematics, scientific proof also are required in the other field of science. also maths proofs are of particular structure, containing steps and logics. so proving is like doing science, it is science. that's why it is important to prove. 

an inaccurate proof leads to errors, or stating results that are not accurate.  which wil mess the probelm up you dont want this