Assessment No. 2: Directions: consider each problem below. Draw a Venn Diagram for each. Determine whether the events are mutually exclusive or not mutually exclusive. Find the probability. 1. A pair of dice is rolled. What is the probability of getting a 3 and a double?
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When a pair of dice is rolled, there are 6 possible outcomes for each die, resulting in a total of 6 x 6 = 36 possible outcomes for the pair of dice. Show more…
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Problem 1: We roll two fair 6-sided dice. Each one of the 36 possible outcomes is assumed to be equally likely. (a) (1 point) Find the probability that a double is rolled. (Hint: (1,1) is a double and (1,2) is NOT a double) (b) (1 point) Let A = a double is rolled and B = sum is 4 or less. Explain, if these two events are disjoint (mutually exclusive) or not. (c) (1.5 points) Find the probability that a double is rolled OR the roll results in a sum of at most 4.
Sri K.
Two fair dice are rolled. Determine the probability that the sum of the two dice is $3 .$
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Make a table in which you list all possible outcomes of rolling two dice. Call the dice A and B. What is the probability of rolling (a) a $7,$ (b) any double, and (c) a 6 or an 87 You can give the probabilities as fractions, such as $3 / 36.$
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