Question

Stel and Atana are deciding where to go next on Edena. Stel has made a map of the planet in which the planet's surface is divided into 56 equally sized squares. Each square is classified in one of four terrain types (plains, desert, seaside, forest) and one of three categories for its temperature (hot, temperate, cold). Atana decides to choose their destination randomly. Stel tells Atana there are 21 plains locations, 4 desert locations, 10 hot locations and 6 that are both plains and cold. Assume temperature and terrain are independent. Round all answers to three decimal places. Don't forget to calculate exact intermediate results, if any, before rounding the answer.

a. Can Atana calculate the probability of landing anywhere but a plains location?
b. Can Atana calculate the probability of landing in a location that is both desert and plains?
c. Can Atana calculate the probability of landing in a seaside or a hot location?
d. Can Atana calculate the probability of landing in a cold location?
f. Can Atana calculate the probability of landing in a temperate or seaside or forest location?

Answer 1

A. 0.625

B. 0

C. No

D. No

E. No

Explanation:

We have these locations with the total of 56 as given in the question

A. Probability of landing anywhere but plain:

= 1 - probability of plain

= 1- 21/56

= 1 - 0.375

= 0.625

B. Probability of landing in a location which both a desert and a plain is the probability of a hit temperature and plain terrain. These two are independent of each other = 0

C. He cannot calculate probability of landing here because this information is not available

D. He cannot also, no information

E. Same thing here. No information