Say you assign this problem to your class: A carton of eggs has 12 eggs, 4 of wh

Question

Say you assign this problem to your class: A carton of eggs has 12 eggs, 4 of which are rotten. Chef Mark and Chef Anne will take turns cracking eggs until someone cracks a rotten egg. Chef Anne will go first. Find the probability that Chef Anne will crack the rotten egg. A student gives the following solution: There are 9 possible outcomes for this experiment, and in 5 of these outcomes Chef Anne cracks the rotten egg, so the probability that Chef Anne will crack the rotten egg is -. EXPLAIN WHY THIS IS INCORRECT. 5 9

Explanation / Answer

as above outcomes are not all equally likely and probability of each outcome is changing with each additional turn ; therefore we can not derive probability from classical formula of favourable outcome/total outcomes ; instead we need to add individual probability of each outcome where Chef Ann crack the rotten egg.

( please revert fr any clariication required)

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