In a certain game of Dungeons and Dragons a total of 2 dice are used. A 6-sided die (1-6) and a 2-sided die (1-2). Consider the following events.  A - Event that a player throws an even number in the 6-sided die B - Event that a player throws an even number in the 2-sided die i) Calculate P(A) and P(B). ii) What is the probability that: a) A player throws an odd number in the 6-sided die. b) A player thrown an odd number in the 2-sided die. iii) In a given turn the player uses both dice at once. He needs the sum of dice throws to be at least 8 to proceed to the next step. What is the probability he doesn’t proceed further? (e.g.: If the first die value = 3 and the second die value = 1, the sum would be 4)

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter12: Probability
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In a certain game of Dungeons and Dragons a total of 2 dice are used. A 6-sided die (1-6) and a 2-sided die
(1-2).
Consider the following events. 

A - Event that a player throws an even number in the 6-sided die
B - Event that a player throws an even number in the 2-sided die
i) Calculate P(A) and P(B).
ii) What is the probability that:
a) A player throws an odd number in the 6-sided die.
b) A player thrown an odd number in the 2-sided die.
iii) In a given turn the player uses both dice at once. He needs the sum of dice throws to be at least 8
to proceed to the next step. What is the probability he doesn’t proceed further?
(e.g.: If the first die value = 3 and the second die value = 1, the sum would be 4)

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