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When a certain coin is flipped, the probability of obtaining a tails is 0.60. Which of the following is the probability that tails would be obtained exactly 10 times when the coin is flipped 20 times?

A.)0.0473
B.)0.1171
C.)0.1762
D.)0.2447
E.) 0.50

Respuesta :

Answer:

The probability will be 0.1171.

Step-by-step explanation:

The probability of getting a tail is 0.60.

Hence, the probability of getting a head will be (1 - 0.60) = 0.40.

As we are going to flip the coin 20 times, there will be 20 different numbers of steps.

From the 20 tosses, we need to choose any 10 steps, where we are suppose to get tails.

From 20 tosses, we can choose exactly 10 tosses in [tex]\frac{20!}{10!\times10!}[/tex] ways.

Now, the one toss is independent of any other toss.

So, The probability of getting 10 heads and 10 tails is [tex]\frac{20!}{10!\times10!} \times (0.60\times0.40)^{10}[/tex] ≅0.1171.

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