You roll two fair dice, a green one and a red one. (a) What is the probability of getting a sum of 6? (Enter your answer as a fr
action.) (b) What is the probability of getting a sum of 10? (Enter your answer as a fraction.) (c) What is the probability of getting a sum of 6 or 10? (Enter your answer as a fraction.) Are these outcomes mutually exclusive? Yes No
1 answer:
Answer:
5/36 ; 1/12 ; 2/9 ; yes
Step-by-step explanation:
Given the following :
Roll of two fair dice : green and red
Probability = (number of required outcomes / number of total possible outcomes)
(a) What is the probability of getting a sum of 6?
Number of required outcomes = 5
P(sum of 6) = 5/36
b.) What is the probability of getting a sum of 10?
Number of required outcomes = 3
P(sum of 10) = 3 / 36 = 1/12
c.) What is the probability of getting a sum of 6 or 10?
P(getting a sum of 6) + P(getting a sum of 10)
(5/36) + (1/12) = (5 + 3) / 36
= 8/36 = 2/9
The events are mutually exclusive because each event cannot occur at the same time.
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Option C
<u> Answer: </u>
The equation in slope intercept form is
The slope is and y-intercept is
<u>Solution: </u>
The slope - intercept form equation of line is given as
y = mx + c ---- eqn(1)
Where m is the slope of the line. The coefficient of “x” is the value of slope of the line.
c is the y – intercept which is the value of y at the point where the line crosses the y-axis
From question, given that -5x - 12y = 11 --- eqn (2)
On converting equation (2) in slope – intercept form, that is adding 5x on both sides,
-5x - 12y + 5x = 5x + 11
-12y = 5x + 11
Now on dividing -12 on both sides,
---- eqn (3)
Comparing the given equation (3) with equation (1), we get
and
Hence Option C is correct.