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babymother [125]
3 years ago
6

The table below shows all outcomes for rolling 2 dice. The bold numbers 1 through 6 show the possible results for each die. All

the other numbers show the possible sums when the 2 dice are rolled.
Part I: Circle each outcome in the table where at least 1 die is a 4 and cross out each outcome where the sum of the dice is greater than 5.
part 2 -Use the table in Part I to find each probability when 2 dice are rolled. Write all probabilities as fractions in lowest terms. Define the events A and B as:
Event A = At least 1 die is a 4.

Event B = The sum of the dice is greater than 5.
A. What is the probability that at least 1 die is a 4?
B. What is the probability that the sum of the dice is greater than 5?
C. What is the probability that at least 1 die is a 4 and that the sum of the dice is greater than 5?
D. What is the probability that at least 1 die is a 4 or that the sum of the dice is greater than 5?

Mathematics
1 answer:
Leokris [45]3 years ago
4 0

Part I:

1. If you have to circle each outcome in the table that at least 1 die is a 4, then you have to circle row corresponding to the number 4 and column corresponding to the number 4.

2. If you have to cross out each outcome where the sum of the dice is greater than 5, then you have to cross out all not bold numbers 6, 7, 8, 9, 10, 11 and 12 in the table.

Part II:

Here you can see 36 possible outcomes.

1. The probability that at least 1 die is a 4 is:

Pr(A)=\dfrac{11}{36} - (favorable outcomes are 4+1=5, 4+2=6, 4+3=7, 4+4=8, 4+5=9, 4+6=10, 1+4=5, 2+4=6, 3+4=7, 5+4=9, 6+4=10).

2. The probability that the sum of the dice is greater than 5 is:

Pr(B)=\dfrac{26}{36}=\dfrac{13}{18}.

3. The probability that at least 1 die is a 4 and that the sum of the dice is greater than 5 is

Pr(A\cap B)=\dfrac{9}{36}=\dfrac{1}{4}.

4. The probability that at least 1 die is a 4 or that the sum of the dice is greater than 5 is:

Pr(A\cup B)=\dfrac{28}{36}=\dfrac{7}{9}.

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Pls help it’s due tn
OverLord2011 [107]

Answer:

94 for the first one and 130 for the second

Step-by-step explanation:

Since A=6 and B=4

For the first one

13(6)+ 4(4)

78+16=94

For the second one

(6+4)*13

(10)*13= 130

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How many miles will your parents drive in 8 hours if they are traveling 65 mph?​
neonofarm [45]

Answer:

520 miles

Step-by-step explanation:

6 0
3 years ago
Find the slope of the line that contains (-2,-2) and (-10,-9)
andrey2020 [161]

Answer:

\huge  \frac{7}{8}  \\

Step-by-step explanation:

The slope of a line given two points can be found by using the formula

m =  \frac{ y_2 - y _ 1}{x_ 2 - x_ 1} \\

From the question we have

m =  \frac{ - 9 -  - 2}{ - 10 -  - 2}  =  \frac{ - 9 + 2}{ - 10 + 2}  =  \frac{ - 7}{ - 8}  =  \frac{7}{8}  \\

We have the final answer as

\frac{7}{8}  \\

Hope this helps you

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Yakvenalex [24]

Answer:

m<-8 or (-∞,-8) hope this helps

6 0
3 years ago
Juan is rappelling down a 495-foot cliff at a rate of 6 feet per second. Which equation would represent the height Juan is above
ss7ja [257]

Answer:

The equation is H = 495 -6t

Step-by-step explanation:

Here, we want to write an equation that will represent the height Juan is above the ground, after t seconds.

The height we want to calculate is H. The initial height is 495 foot;

At the first second, the decrease in height will be 6 * 1, at the second 6 * 2 and thus at t seconds, the decrease in height will be 6 * t = 6t

Ask the height after t seconds will be;

H = 495 - 6t

Where t represents the time in seconds

8 0
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