Question

In a certain desert region, 15% of the coyotes are super geniuses while 85% are not. Recent records indicate that 70% of the super genius coyotes will never catch a roadrunner while 90% of the coyotes that are not super geniuses will never catch a roadrunner

c.If a coyote is randomly chosen in this desert region, find the probability that the coyote will never catch a roadrunner. (This includes coyotes that are super geniuses or not.)

Answer 1

Here' the answer below, in detail. All steps are included. If you've doubts don't hesitate to contact back. Have a good day ahead!

Lets solve this by going into detail of concept:

We apply the concept of conditional probability here, which means we write the formula as below:

c. P(a random coyote chosen in this desert region will never catch a roadrunner)

= P(coyote found in this desert is a genuis)*P(given coyote is genius will never catch a roadrunner)

+ P(coyote found in this desert is NOT a genuis)*P(given coyote is NOT genius will never catch a roadrunner)

= .15*70 + .85*90

= .87

Answer: So, 0.87 is the probability that a randomly chosen coyote in this desert region, will never catch a roadrunner. (This includes coyotes that are super geniuses or not.)