One ordinary quarter and a fake quarter with two heads are placed in a hat. one quarter is selected at random and tossed twice . If the outcome is "HH" what is the probability that an ordinary quarter was selected?
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One ordinary quarter and a fake quarter with two heads are placed in a hat. one quarter is selected at random and tossed twice . If the outcome is "HH" what is the probability that an ordinary quarter was selected?
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga.
Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus.
Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
in terms of HH outcomes,
2 heads = {HH, HT, TH, TT; HH}, where the first 4 outcomes are from an ordinary quarter, the last outcome is from the fake quarter
HH outcome from the true coin = 1, number of outcomes in the experiment = 5
P = 1/5