Question

If one dice is rolled (die 1, die 2), find the probability of getting sum less than 11?

a. What is the probability experiment? Rolling a dice (die 1, die 2)

b. What is the event(s)? sum greater than 11

c. What technique can I use to solve this problem? Select an answer

d. How do you know you can use that technique? Select an answer

f. Find the probability of rolling a sum that is sum less than 11. Write Answer as a Fraction (Not Simplified) Write Answer as a Percent Rounded to Two Decimal Places P( Select an answer ) = ≈ %

g. Is this event likely or unlikely to happen? Select an answer

h. Please explain the reason for the correct answer for part g. Select an answer

Answer 1

a) A probability experiment is a test in which we perform a lot of trials in the experiment to determine the chance of an event occurring in the future.

b) The events where there is a sum greater than 11 is given as: The event when both the dice shows a 6 in their rolls.

c) A classical probability approach could be used to obtain the required probability here as each of the outcome in this probability experiment is equally likely.

d) We are using classicial probability outcome here because the probability of each event occurring here is equally likely given that the two evnts (rolling Dice1 and Dice2 are independent events. )

f) The probability of rolling a sum of less than 11 is computed here as:
= 1 - Probability of sum = 11 or 12

= 1 - P(56, 65, 66)

= 1 - 3/36

= 1 - 1/12

= 11/12

Therefore 11/12 = 0.9167 that is 91.67% is the required probability here.

g) As the probability of event greater than 0.05, therefore the event is likely to happen here.

h) The reason for correct answer here is that the probability of occurrence for that event is greater than 0.05 here