SOLUTION: Carl claims to have so delicate a palate that he can tell by tasting from which brand of juice L and R a given sample originated. Carl is presented with eight cups filled by sp

Algebra ->  Permutations -> SOLUTION: Carl claims to have so delicate a palate that he can tell by tasting from which brand of juice L and R a given sample originated. Carl is presented with eight cups filled by sp      Log On


   

Question 1193842: Carl claims to have so delicate a palate that he can tell by tasting from which brand of juice L and R a given sample originated.
Carl is presented with eight cups filled by spinning a spinner with choices L and R .
p(L)= 1/4
p(R)= 3/4
Carl simply predicts the outcome which has the higher probability. What is the probability that his guess will be correct?
Answer by ikleyn(52779) About Me  (Show Source):
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Carl claims to have so delicate a palate that he can tell by tasting from which brand
of juice L and R a given sample originated.
Carl is presented with eight cups filled by spinning a spinner with choices L and R .
p(L)= 1/4
p(R)= 3/4
Carl simply predicts the outcome which has the higher probability.
What is the probability that his guess will be correct?
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Based on given info, you may think that of 8 cups, 2 are L and 6 are R.


According to the problem, Carl always predicts R.


So, his prediction is correct in 6 cases of 8.


Thus the probability he predicts correctly is  6%2F8 = 3%2F4 = 0.75 = 75%.    ANSWER

Solved.