MAT 144 Topic 7 Final Review

1. Question:An urn contains 7 black and 6 white balls. Four balls are randomly drawn from the urn in succession, with replacement. That is, after each draw, the select ball is returned to the urn. What is the probability that all 4 balls drawn from the urn are black? Round your answer to three decimal places. 2. Question:A fair die is rolled 4 times. What is the probability that a 3 is obtained on at least one of the rolls? Round your answer to three decimal places. 3. Question:A tile is selected from seven tiles, each labeled with a different letter from the first seven letters of the alphabet. The letter selected will be recorded as the outcome. Consider the following events. Event X: The letter selected comes before "D". Event 11: The letter selected is found in the word "CAGE". Give the outcomes for each of the following events. If there is more than one element in the set, separate them with commas. (a) Event "Xor /1": {9} (b) Event "X and Y": {9} (c) The complement of the event Y: {9} 4. Question:Shading a Venn diagram with 2 sets: Unions, intersections, and... Review Ns/ Here is a Venn Diagram with sets B, D, and the universal set U. Shade B n D' on the Venn diagram. 5. Question:Shading a Venn diagram with 2 sets: Unions, intersections, and... 6. Question: Shading a Venn diagram with 2 sets: Unions, intersections, and... Review V Here is a Venn Diagram with sets B, D, and the universal set U. Shade DI on the Venn diagram. 7. Question: Shading a Venn diagram with 2 sets: Unions, intersections, and... Review V Here is a Venn Diagram with sets B, C, and the universal set U. Shade (B U CY on the Venn diagram.