Question

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

Answer 1

The probability of not choosing an extreme route is 11/14.

Step-by-step explanation:

This is a probability problem. Since there are 4 easy, 7 challenging, and 3 extreme routes, there is a total of 4 + 7 + 3 = 14 routes to choose from. The probability of choosing an extreme route is 3/14 since there are 3 extreme routes out of the total 14 routes. To find the probability of not choosing an extreme route, we subtract the probability of choosing an extreme route from 1. Therefore, the probability of not choosing an extreme route is 1 - 3/14 = 11/14.

Answer 2

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