All categories

2 years ago

Two dice are rolled, and the results are summed find the probabilty of rolling an odd sum less than 9

Mathematics

1 answer:

Marina86 [1]2 years ago

7 0

Answer:

You can have 11 outcomes:

2: 1/36

3: 2/36

4: 3/36

5: 4/36

6: 5/36

7: 6/36

8: 5/36

9: 4/36

10: 3/36

11: 2/36

12: 1/36

Odd numbers are 3,5,7,9,11 thus the probability is (2+4+6+4+2)/36

Step-by-step explanation:

try this i think this is the answer i looked it up

You might be interested in

Let Y be a random variable with a density function given by

Neporo4naja [7]

From the given density function we find the distribution function,

$F_Y(y)=P(Y\le y)=\displaystyle\int_{-\infty}^y f_Y(t)\,\mathrm dt=\begin{cases}0&\text{for }y$

(a)

$F_{U_1}(u_1)=P(U_1\le u_1)=P(3Y\le u_1)=P\left(Y\le\dfrac{u_1}3\right)=F_Y\left(\dfrac{u_1}3\right)$

$\implies F_{U_1}(u_1)=\begin{cases}0&\text{for }u_1$

$\implies f_{U_1}(u_1)=\begin{cases}\frac{{u_1}^2}{18}&\text{for }-3\le u_1\le3\\0&\text{otherwise}\end{cases}$

(b)

$F_{U_2}(u_2)=P(3-Y\le u_2)=P(Y\ge3-u_2)=1-P(Y$

$\implies F_{U_2}(u_2)=\begin{cases}0&\text{for }u_2$

$\implies f_{U_2}(u_2)=\begin{cases}\frac32(u_2-3)^2&\text{for }2\le u_2\le4\\0&\text{otherwise}\end{cases}$

(c)

$F_{U_3}(u_3)=P(Y^2\le u_3)=P(-\sqrt{u_3}\le Y\le\sqrt{u_3})=F_Y(\sqrt{u_3})-F_y(\sqrt{u_3})$

$\implies F_{U_3}(u_3)=\begin{cases}0&\text{for }u_3$

$\implies f_{U_3}(u_3}=\begin{cases}\frac32\sqrt u&\text{for }0\le u\le1\\0&\text{otherwise}\end{cases}$

5 0

2 years ago

Find the mean of 86, 87, 91, and 128

liraira [26]

Answer:

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

The surface areas of the two solids shown above are equal.<br> A. True<br> B. False

Hunter-Best [27]

The answer is false.

3 0

2 years ago

Read 2 more answers

After moving 5 units up, 3 units right, and 4 units down, the ending position is (9, 6). What was the starting position.

Anika [276]

You reverse what you did, so first you go 5 units down which makes the coordinates (9,1) then you move 3 units left which then is (6,1). Then you go 4 units up which lets you end out at (6,5).

6 0

2 years ago

A person places $37700 in an investment account earning an annual rate of 5%,

lorasvet [3.4K]

Answer:

8,229,437 cents

Step-by-step explanation:

Using the compound interest formula;

A = P(1+r)^n

Given

Principal invested = $37700

rate r = 5% = 0.05

Time t = 16years

Substitute into the formula

A = 37700(1+0.05)^16

A = 37700(1.05)^16

A = 37700(2.1829)

A = 82,294.37

Hence the amount of money, to the nearest cent, in the account after 16 years is 8,229,437 cents

4 0

2 years ago