6. (10 pts) The local toy store has the ) New Hot Toy\' in stock However, demand

Question

6. (10 pts) The local toy store has the ) New Hot Toy' in stock However, demand for this toy is much irge thn hei supi They onily have 4 ofstock. while there are model. The store decides to hold a random drawing to draw 2 items from the 12 toys (a ) What is the probability that both toys drawn are the "New Hot Toy? 4 of the TNew Hot Toy" in stock, while there are 8 of the "Oider Tay of the Olber Tay 12 11-25-15% (b ) What is the probability that at least one of the toys drawn is the "New Hot Toy?

Explanation / Answer

6.

local store has the new hot toy in stock
there are 4 new toys and 8 older ones
the store decides to hold randomly drawn 2 toys from 12
a.
probability that both are new hot toys = 4c2 /12c2
we are using ncr formula
ncr = n!/(n-r)!*r!
4c2 = 4*3/2 =6 ways
12c2 = 12*11/2 =66 ways
probability that both are new hot toys = 4c2 /12c2 =6/66 =1/11 =9.09%

b.
probability that atleast one of the toys drawn new hot toy

=(4c1*8c1/12c2) + (4c2*8c0/12c2)
= (4*8)/66+(6*1)/66
=38/66
=57.57%

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