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Rock climbing. I am out rock climbing, and the rock face has 4 easy, 7 challenging, and 3 extreme routes to get to the top. The routes are poorly marked, so I just choose one at random, with all routes equally likely. What is the probability that I do not choose an extreme route

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Answer:

0.7857

Step-by-step explanation:

Given the following :

Number of Easy faces = 4

Number of challenging faces = 7

Number of extreme faces = 3

Total number of faces or route = (4 + 7 + 3) = 14

If one route is chosen at random, the probability of not choosing an extreme route will be :

Probability = (required outcome / Total possible outcomes)

P(not choosing an extreme route) = 1 - P(choosing an extreme route)

P(choosing an extreme route) = 3 / 14 = 0. 2143

Hence,

P(not choosing an extreme route) = 1 - 0.2143

= 0.7857

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