We flip a fair coin five times. For every heads you pay me $1 and for every tails I pay you $1. Let X denote the my net winning at the end of the flips. Find the possible values and the probability mass function of X.

Question

Mathematics

Solomon Pugh

27 November, 15:23

We flip a fair coin five times. For every heads you pay me $1 and for every tails I pay you $1. Let X denote the my net winning at the end of the flips. Find the possible values and the probability mass function of X.

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Answers (1)

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Moises Sparks · Answer 1

The probability mass of X is 0.03

Step-by-step explanation:

If we set the winning requirement of your heads and my tails then the occurring possibility of both is 1/2 or 0.5.

Hence let us make a graph and use the figures to calculate the all the probabilities of you getting a heads.

Where X represents the number of dollars won during the flip of the coin, probability of heads represent the chances of occurrence of the value and of winning the dollars.

The probability of winning start to drop as the winning amount increases.

X 0 1 2 3 4 5

Probability of Heads 0 0.50 0.25 0.13 0.06 0.03