3. In a chemical process, experiments using five different amounts of calcium ca

Question

3. In a chemical process, experiments using five different amounts of calcium carbonate are performed. The results from each of these may or may not be further reduced in a second step using four different calcium carbonate amounts. Each of these results may or may not be further reduced in a third step using three different amounts of calcium carbonate If all outcomes are equally likely, what is the probability that the best result is obtained from an e at that uses two steps? [7 pts Circle your answer a) 0.0589 b) 0.4000 c) 0.7059 d) 0.2353 e) None of the answers is correct to the fourth decimal place

Explanation / Answer

here let's look one of 5 experiments

this experiment can go to step 2 or not.

there is one way in which it will stop to step 1.

if it will go to step 2; there will be 4 extra ways to do the experiments.

if experiment will go to step 3; there will be 4*3 =12 extra exmeriments for this single node.

SO total possible experiment for single node =1+4+12 =17

hence total possible experiment for 5 nodes =17*5=85

total number of experiments for step 2 =4*5=20

hence probability =20/85 =0.2353

option D is correct

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