Question

Questions based on the multi-link cube The following 8 questions are based on the following data generated by rolling a multi-link cube 500 times: Up 118 Out Down Balanced 3 301 78 Question 1 (1 point) Rank the following combinations of rolls from most to least probable. One UP and one OUT One UP then one OUT Two DOWN in a row Question 2 (1 point) What is the probability of rolling at least one OUT in 4 rolls? Hint: think about the question in

Answer 1

P( one up and one out) = P( 1st one up 2nd one out)+P( 1st one out 2nd one up)

=2. P( 1st one up 2nd one out)

= 2. P(1st one up). P(2nd one out)

$=2 \times\frac{118}{500} \times\frac{301}{500}$   

Similarly , P(one up then one out) = P(1st one up 2nd one out)

P(two down in a row)= $=\frac{78}{500} \times\frac{78}{500}$

So they are in order of most to least probabilities