At a carnival you win a prize if you get a heads, you must first choose a coin. There is a fair and a biased coin, while choosin

Question

2 years ago

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At a carnival you win a prize if you get a heads, you must first choose a coin. There is a fair and a biased coin, while choosin

g each coin is equally likely, the biased coin has a 74% of landing tails. What is the probability of choosing the biased coin if you won a prize. a. 0.2600 b. 0.5968 c. 0.3421 d. 0.5243 e. None of the above

Mathematics

1 answer:

Marta_Voda [28] · Answer 1 · 2022-08-17T19:46:40+03:00

Answer:

c. 0.3421

Step-by-step explanation:

The computation of the probability of selecting the biased coin is shown below:

The probability of any coin selected is 1 ÷ 2

The probability in the case when the biased coin chosen & wins 1 ÷ 2 (1 - 0.74)

And, the win probability is 1 ÷ 2 (1 - 0.74) + 1 ÷ 2 (1 - 0.5)

Now the probability of biased or win is

= {1 ÷ 2 (1 - 0.74)} ÷ { 1 ÷ 2 (1 - 0.74) + 1 ÷ 2 (1 - 0.5)}

= 0.13 ÷ 0.38

= 0.3421

Hence, the correct option is c. 0.3421