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The performance of a cyclist in a race is affected by whether it rains or not that day. The probability the cyclist crashes is 5/8 when it rains and 1/8 when it's dry. On a given day the probability of rain is 1/3 . What is the probability that the cyclist doesn't crash on any given day? please help me

Respuesta :

To solve this problem, we have to consider the fact that if the probability that the cyclist may crash due to some circumstance. The probability the cyclist doesn't crash at any given day is 3/8

Probability

The probability the cyclist crash when it's wet or dry will be the

[tex]P = P_w_e_t * P_d_r_y[/tex]

  • P(wet) = 5/8
  • P(dry = 1/8

The probability the cyclist crash on any given day is

[tex]P = \frac{5}{8}*\frac{1}{8} =\frac{5}{64}[/tex]

we can subtract 1 from the value above to find the probability the cyclist doesn't crash at any given day

[tex]P = 1 - \frac{5}{64} \\P=\frac{3}{8}[/tex]

The probability the cyclist doesn't crash at any given day is 3/8

Learn more on probability here;

https://brainly.com/question/24756209

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