There are 10 cars in the lottery, each at a cost of $100,000. There are also 1,000 consolation prizes, $1000 each. The total number of the tickets is 10,000,000. The price of a ticket is $2. Find the mathematical expectation of the lottery.

Explanation:

The mathematical expectation is the sum of the products of the of each outcome by its probability.

Calling E(X) the mathematical expectation, that is:

The possible outcomes and its probability are:

1) For the cars

2) For the consolation prizes

3) Mathematical expectation of the prizes

3) Cost

Now, you must subtract the price of a ticket, since it is a certain cost, this is, it has 100% probability.

4) Mathematical expectation of the lottery

It is the expectation of the prizes less the cost:

is there any photos or whatever?

75

step-by-step explanation:

you do x-29=46 (the number of cantaloupes sold)

in order to find x, you have to find what minus 29 equals 46, meaning you'd have to add 29 to 46.

29+46=75

if you replace x with 75, the equation looks like:

75-29=46

x=75