SOLUTION: 4. A batch of 400 iron rods consists of 100 oversized rods, 100 undersized rods, and 200 of desired length. If two rods are drawn at random without replacement, what is the probabi

Algebra ->  Probability-and-statistics -> SOLUTION: 4. A batch of 400 iron rods consists of 100 oversized rods, 100 undersized rods, and 200 of desired length. If two rods are drawn at random without replacement, what is the probabi      Log On


   



Question 1207261: 4. A batch of 400 iron rods consists of 100 oversized rods, 100 undersized rods, and 200 of desired length. If two rods are drawn at random without replacement, what is the probability of obtaining (i) two rods of desired length. (ii) exactly one of the desired length (iii) none of the desired length (iv) Two undersized rods.
Answer by ikleyn(52754) About Me  (Show Source):
You can put this solution on YOUR website!
.
4. A batch of 400 iron rods consists of 100 oversized rods, 100 undersized rods, and 200 of desired length.
If two rods are drawn at random without replacement, what is the probability of obtaining
(i) two rods of desired length.
(ii) exactly one of the desired length
(iii) none of the desired length
(iv) Two undersized rods.
~~~~~~~~~~~~~~~~~~~~~~~

(i)    P = %28200%2F400%29%2A%28199%2F399%29 = %281%2F2%29%2A%28199%2F399%29.


(ii)   P = 2%2A%28200%2F400%29%2A%28200%2F400%29 = 2%2A%281%2F2%29%2A%281%2F2%29 = 1%2F2.


(iii)  P = %28200%2F400%29%2A%28199%2F399%29 = %281%2F2%29%2A%28199%2F399%29.


(iv)   P = %28100%2F400%29%2A%2899%2F399%29 = %281%2F4%29%2A%2899%2F399%29.

Solved.