Probability of Independent and Mutually Exclusive Events

Beth always eats one bowl of cereal for breakfast. The probability that she chooses porridge is 0.25. The probability that she chooses muesli is 0.08. What is the probability that she eats porridge or muesli?

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probability

mutually exclusive events

Alexey has some red, blue, yellow, and green pencils. The number of yellow pencils is the same as the number of green ones.

He chooses a pencil at random. The probability that he chooses a red pencil is 0.3, and 0.4 for blue. Find the probability that he chooses a green pencil.

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probability

mutually exclusive events

The probability that Mr. Passmore goes shopping this afternoon is 0.2. The probability that Artem goes shopping this afternoon is 0.45. Calculate the probability that Mr. Passmore and Artem both go shopping (not together).

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probability

independent events

The probability that Mr. Passmore goes shopping this afternoon is 0.2. The probability that Artem goes shopping this afternoon is 0.45. Calculate the probability that Mr. Passmore goes shopping and Artem doesn't go shopping.

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probability

independent events

A four-sided spinner is spun twice. What is the probability that the total of the numbers will be 5?

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probability

independent events

Polina is playing ping-pong. The probability that she wins a game is 0.7 (she's quite good). What is the probability that she wins one game and wins the next game?

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probability

independent events

Andrey has many different coloured socks. The probability that he wears a colour is:

Orange = 0.1

Blue = 0.6

Red = 0.2

Green = 0.1

What is the probability that he wears a red or orange sock one day, and a blue sock the next day?

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probability

mutually exclusive events

independent events

There are 3 English books, 4 Trigonometry books, and 2 Physics books on a shelf. If a book is randomly selected, what is the probability of selecting an English book or a Trigonometry book?

Mathematical Equivalence

ON

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probability

mutually exclusive events

Find the probability of flipping a head on a coin and then rolling a 5 on a six-sided die.

Mathematical Equivalence

ON

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probability

independent events

The spinner is spun two times.  Determine the probability of landing on red the first spin and on green the second spin .

Mathematical Equivalence

ON

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probability

independent events