Module 2 Test 1. Suppose you pick two cards from a deck of 52 playing cards. Wha

Question

Module 2 Test 1. Suppose you pick two cards from a deck of 52 playing cards. What is the probability that they are both queens? Answer this question converted to percentage and include up to the thousands decimal place. (X.XXX). Show your work. (33.3 points) 2. Suppose that there are ten students in a classroom. What is the probability that no two of them have a birthday in the same month? Answer this question converted to percentage and include up to the thousands decimal place. (X.XXX). Show your work. (33.3 points) 3. A multiple choice exam has 4 choices for each question. A student has studied enough so that the probability they will know the answer to a question is 0.5, the probability that they will be able to eliminate one choice is 0.25, otherwise all 4 choices seem equally plausible. If they know the answer they will get the question right. If not they have to guess from the 3 or 4 choices. As the teacher you want the test to measure what the student knows. If the student answers a question correctly what's the probability they knew the answer? Answer this question converted to percentage and include up to the tenths decimal place. (X.X). Show your work. (33.4 points)

Explanation / Answer

Selecting 2 cards from Total number of playing cards n(s) = 52C2

Selecting 2 queens from Total number of Queens n(a) = 4C2

Probability of selecting two queens is

P(A) = n(A) /n(s)

= 4C2/52C2

= 6/1326

= 0.452%

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