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The sides of a fair cubical dice are numbered 2, 3, 3, 4, 4 and 5. The dice is thrown twice and the outcomes are added to give a total T. a Represent the probability distribution of T in a table. b A game is designed so that if T' is prime, a prize of $T is won. If T is a square number, the player must pay $x. If Tis any other number, no prize or payment is made. Find the value of $x so that the game is fair.

The sides of a fair cubical dice are numbered 2, 3, 3, 4, 4 and 5. The dice is thrown twice and the outcomes are added to give a total T. a Represent the probability distribution of T in a table. b A game is designed so that if T' is prime, a prize of $T is won. If T is a square number, the player must pay $x. If Tis any other number, no prize or payment is made. Find the value of $x so that the game is fair.

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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The sides of a fair cubical dice are numbered 2, 3, 3, 4, 4 and 5. The dice is thrown twice and the outcomes are added to give a total T. a b A game is designed so that if T' is prime, a prize of $T is won. If T is a square number, the player must pay $x. If Tis any other number, no prize or payment is made. Find the value of $x so that the game is fair. a b Represent the probability distribution. of T in a table. 616 Show that there are 16 factors of 120. Six random integers between 1 and 120 inclusive are generated. Find the probability that there are: i exactly three factors of 120 ii at least three factors of 120 iii at most three factors of 120 iv three consecutive factors of 120, and the other two numbers are not factors of 120. 5
Transcribed Image Text:The sides of a fair cubical dice are numbered 2, 3, 3, 4, 4 and 5. The dice is thrown twice and the outcomes are added to give a total T. a b A game is designed so that if T' is prime, a prize of $T is won. If T is a square number, the player must pay $x. If Tis any other number, no prize or payment is made. Find the value of $x so that the game is fair. a b Represent the probability distribution. of T in a table. 616 Show that there are 16 factors of 120. Six random integers between 1 and 120 inclusive are generated. Find the probability that there are: i exactly three factors of 120 ii at least three factors of 120 iii at most three factors of 120 iv three consecutive factors of 120, and the other two numbers are not factors of 120. 5
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