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You have a biased coin, where the probability of flipping a heads is 70%. You flip once, and the coin comes up tails. What is the expected number of flips from that point (so counting that as flip #0) until the number of heads flipped in total equals the number of tails?

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MrRoyal

The expected number of flips from that point until the number of heads flipped in total equals the number of tails is 2

How to determine the number of flips?

The given parameters are:

P(Head) = 70%

The expected number of flipping a head is:

E(x) = 70% * x

The expected number of flipping a tail is:

E(x) = (1 - 70%) * x + 1

Where 1 represents the first flip

When both values are equal, we have:

70% * x = (1 - 70%) * x + 1

Evaluate

0.7x = 0.3x + 1

Evaluate the like terms

0.4x = 1

Divide both sides by 0.4

x = 2.5

Remove the decimal

x = 2

Hence, the expected number of flips from that point until the number of heads flipped in total equals the number of tails is 2

Read more about expected values at:

https://brainly.com/question/15858152

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