Answer:
P(9) = 1/9
Step-by-step explanation:
From the contingency table, we see that 9 appears 4 times out of the 36 possible outcomes, therefore the probability of having a sum of 9 is
P(9) = 4/36 = 1/9
The probability that the sum is 9 is 1/18.
The probability is defined as the possibility of an event is equal to the ratio of the number of favorable outcomes and the total number of outcomes.
The sample space of rolling two dice has 36 possible outcomes.
Remember that the sample space is a set that contains all possible outcomes.
(1,1) (2,1) (3,1) (4,1) (5,1) (6,1)
(1,2) (2,2) (3,2) (4,2) (5,2) (6,2)
(1,3) (2,3) (3,3) (4,3) (5,3) (6,3)
(1,4) (2,4) (3,4) (4,4) (5,4) (6,4)
(1,5) (2,5) (3,5) (4,5) (5,5) (6,5)
(1,6) (2,6) (3,6) (4,6) (5,6) (6,6)
Let E = the event of getting a sum of that number is 9
favorable outcomes = (5,4) (4,5)
So, n(E) = 2
Sample space n(S) = 36
p(E) = n(E)/n(S)
p(E) = 2/36
p(E) = 1/18
Hence, the probability that the sum is 9 is 1/18.
Learn more about probability here:
brainly.com/question/11234923
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