Xiaochen plays a mage and she wants to throw a fireball at a monster. Assume she always hits a monster. The damage is determined by the sum of the dice rolls. We will define the following events: • Event E is that the damage is even • Event G is that the damage is 7 or 8 • Event T is that the first die is at most 2. FIND the following probabilities and enter the value ONLY in the box provided. DO NOT type out any text. Give decimals answers to 4 places unless it terminates before the 4th place. a) P(G) = b) P(T©) = c) P(E|T) =

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Xiaochen plays a mage and she wants to throw a fireball at a monster. Assume she
always hits a monster. The damage is determined by the sum of the dice rolls.
We will define the following events:
• Event E is that the damage is even
• Event G is that the damage is 7 or 8
• Event T is that the first die is at most 2.
FIND the following probabilities and enter the value ONLY in the box provided. DO
NOT type out any text. Give decimals answers to 4 places unless it terminates
before the 4th place.
a) P(G) =
b) Р(T) %3
c) P(E|T) =
Transcribed Image Text:Xiaochen plays a mage and she wants to throw a fireball at a monster. Assume she always hits a monster. The damage is determined by the sum of the dice rolls. We will define the following events: • Event E is that the damage is even • Event G is that the damage is 7 or 8 • Event T is that the first die is at most 2. FIND the following probabilities and enter the value ONLY in the box provided. DO NOT type out any text. Give decimals answers to 4 places unless it terminates before the 4th place. a) P(G) = b) Р(T) %3 c) P(E|T) =
Xiaochen is playing a dungeon and dragons board game and the outcome of her
actions are determined by rolling dice. She rolls a fair 6-sided die and a fair 4-sided
die at the same time. Assume all possible outcomes are equally likely. For example,
one outcome is (5, 2) where 5 is from the 6-sided die, 2 is from the 4-sided die. The
full sample space is shown below.
(1, 1),
(1, 2),
(1, 3),
(1, 4),
(2, 1),
(2, 2),
(2, 3),
(2, 4),
S :
=,
(3, 1),
(3, 2),
(3, 3),
(3, 4),
(4, 1),
(4, 2),
(4, 3),
(4, 4),
(5, 1),
(5, 2),
(5, 3),
(5, 4),
Transcribed Image Text:Xiaochen is playing a dungeon and dragons board game and the outcome of her actions are determined by rolling dice. She rolls a fair 6-sided die and a fair 4-sided die at the same time. Assume all possible outcomes are equally likely. For example, one outcome is (5, 2) where 5 is from the 6-sided die, 2 is from the 4-sided die. The full sample space is shown below. (1, 1), (1, 2), (1, 3), (1, 4), (2, 1), (2, 2), (2, 3), (2, 4), S : =, (3, 1), (3, 2), (3, 3), (3, 4), (4, 1), (4, 2), (4, 3), (4, 4), (5, 1), (5, 2), (5, 3), (5, 4),
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