Question

1) An experiment consists of selecting a president and vice president from a group of 100. How many possible outcomes are there?

2)A very short quiz has one multiple choice question with five possible choices (a, b, c, d, e) and one true or false question. Assume you are taking the quiz but do not have any idea what the correct answer is to either question, but you mark an answer anyway. What is the probability you have given the correct answer to both questions? Enter your answer as a decimal rounded to three decimal places.

Answer 1

solution:

1)

total available choices =n = 100

we have to select president and a vice president,

so, these positions have to select for which order matters so using the formula for permutation

total positions = 2

so total ways = 9900

2)

for multiple choice question:

total choice available for answer = 5

correct answer = 1

so, probability of correct answer = 1/5 = 0.2

for true and false question:

choice available to answer = 2   i,e, true, false

correct answer choice = 1

p(correct answer ) = 1/2 = 0.5

P(correct answer to both question) = 0.2*0.5 = 0.1