Determine whether the following individual events are independent or dependent. Then find the probability of the combined event. Randomly selecting a four-person committee consisting entirely of Canadians from a pool of 16 Americans and 13 Canadians.

Here we have four individual events.

First selection, second selection, third selection and fourth selection.

Where initially, the options are 16 Americans and 13 Canadians.

Now, to see if the events are dependent or independent.

Suppose that in the first selection, an American is selected.

Then the second selection has 15 Americans and 13 Canadians as options.

Now, if in the first selection, a Canadian is selected.

Then in the second selection, the options will be 16 Americans and 12 Canadians.

Then the events are not independent.

Now we want to find the probability of randomly selecting a four-person committee consisting entirely of Canadians from a pool of 16 Americans and 13 Canadians

The probability of randomly selecting a Canadian is equal to the quotient between the number of Canadians, and the total number of postulants.

For the first selection, we have 13 Canadians, and 29 people in total, then the probability is:

P1 = 13/29.

Suppose that a Canadian is selected, now there are 12 Canadians and 28 people in total, then the probability for the second selection is:

P2 = 12/28

with the same reasoning as above, the probabilities for the third and fourth selections will be:

P3 = 11/27

P4 = 10/26.

The joint probability will be equal to the product of the individual probabilities, this is:

P = P1*P2*P3*P4 = (13/29)*(12/28)*(11/27)*(10/26) = 0.03

rick has $1400 and sally has $1500

step-by-step explanation:

to find amount of money rick has after 10 years :

principal = $1000 , time = 10 years , rate = 4% annually

to find amount of money sally has after 10 years :

her friend gives to pay her $50 per year, therefore money she has after 10 years = 50 × 10 = $500

also, sally gets $1000 after 10 years,

therefore, total amount of money sally has after 10 years = 500 + 1000 = $1500

so, after 10 years : rick has $1400 and sally has $1500

answer:

it is general formula that is used to write value to its excet position

a11 a12 a13

a21 a22 a23

it is the example of order 2 by 3 matrix in this

a11 means value occur in 1 st row 1st column

a12 means value occurs in 1st row 2nd column

a13 means value occur in 1st row and 3rd column

a21 means value occurs in 2nd row and 1st column

a22 means value occurs in 2nd row and in 2nd column

a23 means value occurs in 2nd row and in 3rd column