40% of athletes have tattoos and get into fights with other athletes. 50% of athletes get into fights with other athletes. What is the probability that an athlete that is getting into a fight has a tattoo

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MrRoyal MrRoyal · Answer 1 · 2021-12-27T12:16:01+01:00

The probability that an athlete that is getting into a fight has a tattoo is 0.80

Let the events be represented as:

So, the probabilities are given as:

[tex]P(A\ n\ B) = 40\%[/tex]

[tex]P(A) = 50\%[/tex]

The probability that an athlete that is getting into a fight has a tattoo is represented as: P(B | A)

So, we have:

[tex]P(B | A) = \frac{P(A\ n\ B)}{P(A)}[/tex]

Substitute known values

[tex]P(B | A) = \frac{40\%}{50\%}[/tex]

Cancel out the percentages

[tex]P(B | A) = \frac{40}{50}[/tex]

Divide 40 by 50

[tex]P(B | A) = 0.80[/tex]

Hence, the probability that an athlete that is getting into a fight has a tattoo is 0.80