Probability and statistics

Probability

Types of exercises: probability in the classical model, complementary event, throwing two dice, drawing several items at once, drawing twice with and without replacement, drawing a number from a set.

Exercises are drawn at random from a large bank - every click gives a different set.

Solved: 0 of 10

1

Give the probability

Two numbers are drawn one after another without replacement from the set {2, 3, 4, …, 10}. What is the probability that the product of the numbers drawn is divisible by 4?

2

Give the probability

A box holds 17 white balls and 11 black balls. One ball is drawn at random. What is the probability that it is NOT white?

3

Give the probability

Two 12-sided dice are thrown. What is the probability that both dice show the same number?

4

Give the probability

A box holds 4 white balls and 13 black balls. One ball is drawn at random. What is the probability that it is black?

5

Give the probability

A box holds 5 white balls and 6 black balls. Two balls are drawn at once. What is the probability that both are white?

6

Give the probability

A number is drawn at random from the set of all two-digit numbers. What is the probability that the number drawn is the square of a natural number?

7

Give the probability

Two numbers are drawn one after another without replacement from the set {5, 6, 7, …, 16}. What is the probability that the sum of the numbers drawn is odd?

8

Give the probability

A box holds 16 white balls and 16 black balls. One ball is drawn at random. What is the probability that it is NOT white?

9

Give the probability

Two dice are thrown. What is the probability that the pips add up to at least 6?

10

Give the probability

A box holds 4 white balls and 8 black balls. One ball is drawn at random. What is the probability that it is white?

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Probability - exercises with solutions (Probability and statistics) | PhiBoard