Math 110 Quiz 5 Spring 2002: Probability Theory and Dice Rolling, Exercises of Mathematics

A university-level math quiz focused on probability theory and dice rolling. Students are asked to identify the elements of certain events using ordered pairs and ordered triples, as well as find the probabilities of these events. Topics covered include sample spaces, events, and probability calculations.

Typology: Exercises

2012/2013

Uploaded on 03/31/2013

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Math 110 Quiz 5 Spring 2002 NAME:
1. A pair of dice is rolled. Using ordered pairs, list the elements of the follow-
ing:
(a) The event Ethat the sum is 7.
(b) The event Fat least one of the dice shows a 6.
(c) Find the probabilities p(E), p(F) and p(EF).
2. A family has three children. Using b to stand for boy and g to stand for girl, and
using ordered triples,
(a) find the sample space.
(b) Find all elements of the event E that the family has at least two daughters.
(c) Find the probability of the event E.

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Math 110 Quiz 5 Spring 2002 NAME:

  1. A pair of dice is rolled. Using ordered pairs, list the elements of the follow- ing: (a) The event E that the sum is 7.

(b) The event F at least one of the dice shows a 6.

(c) Find the probabilities p(E), p(F ) and p(E ∩ F ).

  1. A family has three children. Using b to stand for boy and g to stand for girl, and using ordered triples, (a) find the sample space.

(b) Find all elements of the event E that the family has at least two daughters.

(c) Find the probability of the event E.