Probability calculation(matura problems)

150 raffle tickets were sold at a party. Agnes bought 21 of them. What is the probability of Agnes winning if only one prize is drawn? (Each ticket has the same chance of winning.)

What is the probability that the first number drawn in the National Lottery is a multiple of 10? ( In the Hungarian lottery the five winning numbers are drawn from the integers between 1 and 90, without replacement.)

What is the probability that a number divisible by three is obtained by rolling a die once? (2 decimals)

There are twenty marbles in a box, 45 percent of them are blue and the rest of them are red. Find the probability that a randomly drawn marble is red.

A 1-forint coin is flipped twice in a row and the results are recorded. What is the probability that one head and one tail is recorded?

Anna, Bence, Cili and Dénes are sitting down randomly on a bench, next to one another. Calculate the probability that neither the two boys (Bence and Dénes), nor the two girls (Anna and Cili) are sitting next to each other.

After shopping in a small store, the change is 90. The cashier randomly picks up four ones out of one 50 coin, three 20 coins and four 10 coins. What is the probability that the change hence returned is correct?(no rounding)

There are eight white marbles in a bag. How many additional black marbles should be put into the bag to make the probability that a marble chosen randomly from the bag is white equal to 0.4? It is assumed that the marbles are drawn with equal probability.

What is the probability of the event that the number obtained by rolling a regular die once is a factor of 60?

Roll a fair dice twice and record the results (in the order of rolls), thereby obtaining a two-digit number. What is the probability that the number obtained will be divisible by 7?(2 decimals)