Question

Sixty percent (60%) of Americans can identify where Sweden is on the world map. If two Americans are selected at random, .A) Find the probability that both can identify Sweden on the map. .B) Find the probability that neither can identify Sweden on the map. .C) Find the probability that at least one American can identify Sweden on the map.

Answer 1

A) Find the probability that both can identify Sweden on the map.

since both variables are independent, we just multiply the probability of 1 person identifying Sweden by the probability of the other person identifying Sweden = 0.6 x 0.6 = 0.36 = 36%

B) Find the probability that neither can identify Sweden on the map.

we will use the same formula as above = 0.4 x 0.4 = 0.16 = 16%

C) Find the probability that at least one American can identify Sweden on the map.

in order to determine the probability of at least 1 person identifying Sweden, we just subtract the probability that none does it from 100%.

= 100% - 16% = 84%

this includes the possibility of just 1 or the 2 people being able to identify Sweden.