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3 years ago

a die is rolled twice. the value of both rolls are added together. what is the probability of the sum being greater than 7

1 answer:

7 0

Sum can be 8,9,10,11,12.

8 can be 2+6,3+5,4+4,5+3,6+2 ...so, 5 ways
9 can be 3+6,4+5,... 4 ways
10.......4+6,6+4,5+5 ....3 ways
11.....5+6,6+5.....2 ways
12....6+6...1way
total= 5+4+3+2+1=15 favourable cases

P=15/36=5/12

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The Venn diagram shows the results of two events resulting from rolling a number cube.

tankabanditka [31]

Answer:

$P(A|B)=\frac{2}{3}$

$P(A)*P(B)=\frac{1}{3}$

$P(A) =\frac{2}{3}$

$P(B) =\frac{1}{2}$ .

Step-by-step explanation:

We use the Venn diagram to calculate the desired probabilities.

Note that there are 6 possible results in the sample space

S = {1, 2, 3, 4, 5, 6}

Then note that in the region representing the intercept of A and B there are two possible values.

$P (A\ and\ B) = \frac{2}{6} = \frac{1}{3}$

In the region that represents event A there are 4 possible outcomes {4, 5, 1, 2}

$P(A) = \frac{4}{6} = \frac{2}{3}$

In the region that represents event B there are 3 possible outcomes {1, 2, 6}

$P(B) = \frac{3}{6} = \frac{1}{2}$ .

Now

$P(A | B)=\frac{P(A \ and\ B)}{P(B)}\\\\P(A | B)=\frac{\frac{1}{3}}{\frac{1}{2}}\\\\P(A|B)=\frac{2}{3}$

$P(A)*P(B)=\frac{2}{3}*\frac{1}{2}=\frac{1}{3}$

6 0

3 years ago

Y - 8 = -10 How do I verify the solution ?

prisoha [69]

Answer:

y = -2

Step-by-step explanation:

SOLUTION :-

Solve the equation.

Add 8 to both sides in order to isolate the equation.

$=> y - 8 + 8 = -10 + 8$

$=> y = -2$

∴ y = -2

VERIFICATION :-

To verify the solution of y , just put the solution (y = -2) in place of y in equation and check whether L.H.S = R.H.S.

L.H.S :-

-2 - 8 = -10

R.H.S. :-

-10 (already given)

⇒L.H.S. = R.H.S. (verified)

4 0

3 years ago

Adele Swam the length of the pool in 32.56 seconds. Alexandria swam the length of the pool in 29.4 seconds. How many seconds fas

Sati [7]

Answer

Find out how many seconds faster has Alexandria's time then Adele's time .

To proof

Let us assume that seconds faster has Alexandria's time then Adele's time be x.

As given in the question

Adele Swam the length of the pool in 32.56 seconds. Alexandria swam the length of the pool in 29.4 seconds.

Than the equation becomes

x = 32.56 - 29.4

x = 3.16 seconds

Therefore the 3.16 seconds faster has Alexandria's time then Adele's time .

Hence proved

7 0

3 years ago

6. Which formula is 8 less than twice a number? q=2w-8

hammer [34]

Answer:

Yes that is correct

7 0

3 years ago

Apply the distributive property t create an equivalent expression

earnstyle [38]

Answer:The answer is 24m-28

Step-by-step explanation:

Hope this helps

7 0

3 years ago