A fair coin is tossed six times and the sequence of heads and tails is recorded. What is the probability that the sequence contains exactly two heads? Express your answer as a common fraction.

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Answer:

1/3

Step-by-step explanation:

you take the probability divide by the tossing times

The probability that the sequence contains exactly two heads will be 0.2344.

How to find that a given condition can be modeled by binomial distribution?

Bernoulli's trials are those trials which end up randomly either on success (with probability p) or on failures (with probability 1- p = q (say))

The probability that out of n trials, there'd be x successes is given by

[tex]\rm P(X =x) = \: ^nC_xp^x(1-p)^{n-x}[/tex]

A fair coin is tossed six times and the sequence of heads and tails is recorded.

The probability that the sequence contains exactly two heads will be

n = 6

p = q = 1/2

Then the probability will be

P(x = 2) = ⁶C₂ (1/2)² (1/2)⁴

P(x = 2) = 0.2344

Learn more about binomial distribution here:

https://brainly.com/question/13609688

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