There are 1000 tickets in the lottery. One win of 200 rubles and ten winnings of 100 rubles are drawn.

There are 1000 tickets in the lottery. One win of 200 rubles and ten winnings of 100 rubles are drawn. Let X be the value of the possible winnings for a person with one ticket. Draw up the distribution law of this random variable X.

Let the random variable X correspond to the size of the winnings, which can be either 0 rubles, or 100 rubles, or 200 rubles.

Now we will find the probabilities of these gains, denoting them by P (X):

P (0) = 989/1000.

P (100) = 1/100.

P (200) = 1/1000.

Let’s check to make sure we found the probabilities correctly, based on the rule that the sum of all probabilities should be equal to 1.

P (0) + P (100) + P (200) = 1/1000 + 1/100 + 989/1000 = 1 (all probabilities were found correctly).

Now, based on these data, we will compose the distribution law of this random variable X:

X 0 100 200

P 0.989 0.01 0.001