Question

A game has two four-sided dice having the numbers 9, 6, 3, and 2 on their faces. Outcomes in the sample space are pairs such as (9,6)and (2,2).

a. |
How many elements are in the sample space? |

b. |
Express the event "the total showing is even" as a set. |

c. |
What is the probability that the total showing is even? |

d. |
What is the probability that the total showing is greater than
13? |

Answer #1

a)

The sample space is given by:

S = {(9,9), (9,6), (9,3), (9,2), (6,9), (6,6), (6,3), (6,2), (3,9), (3,6), (3,3), (3,2), (2,9), (2,6), (2,3), (2,2)}

So, number of elements in the sample space = 16

b)

Let E denote the event 'the total showing is even'.

Then,

E = {(9,9), (9,3), (6,6), (6,2), (3,9), (3,3), (2,6), (2,2)}

c)

Required probability =

d)

Let M denote the event 'the total showing is even'.

Then,

M = {(9,9), (9,6), (6,9)}

Required probability =

Two regular 6-sided dice are tossed. (See the figure below for
the sample space of this experiment.)
Determine the number of elements in the sample space for tossing
two regular 6-sided dice.
n(S) =
Let E be the event that the sum of the pips on the
upward faces of the two dice is 6. Determine the number of elements
in event E.
n(E) =
Find the probability of event E. (Enter your
probability as a fraction.)

1. Two 6-sided dice are rolled. What is the probability that
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P(E) = O(E) =
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P(F) = O(F) =

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