Compound probability

Front

What is compound probability?

Back

Compound probability refers to the probability of two or more events happening at the same time. It can be calculated using the multiplication rule for independent events or the addition rule for mutually exclusive events.

Front

What is the formula for calculating the probability of two independent events A and B occurring?

Back

P(A and B) = P(A) * P(B)

Front

What is the probability of rolling a 1 on a fair six-sided die?

Back

1/6

Front

If you flip a coin and roll a die, what is the probability of getting heads and a 4?

Back

P(Heads) * P(4) = 1/2 * 1/6 = 1/12

Front

What is the probability of drawing a red card from a standard deck of cards?

Back

There are 26 red cards in a deck of 52 cards, so P(Red) = 26/52 = 1/2.

Front

What is the probability of drawing two aces in a row from a standard deck without replacement?

Back

P(Ace 1) = 4/52, P(Ace 2) = 3/51, so P(Ace 1 and Ace 2) = (4/52) * (3/51) = 12/2652 = 1/221.

Front

What is the probability of spinning a green or blue on a spinner divided into 4 equal sections: red, green, blue, yellow?

Back

There are 2 favorable outcomes (green and blue) out of 4 total outcomes, so P(Green or Blue) = 2/4 = 1/2.

Front

In a bag with 5 purple and 9 brown pencils, what is the probability of picking two purple pencils without replacement?

Back

P(Purple 1) = 5/14, P(Purple 2) = 4/13, so P(Both Purple) = (5/14) * (4/13) = 20/182 = 10/91.

Front

What is the probability of selecting a letter other than 'A' from the word 'ALGEBRA'?

Back

There are 5 letters other than 'A' (L, G, E, B, R) out of 7 total letters, so P(Not A) = 5/7.

Front

What is the probability of selecting a vowel from the word 'MATHEMATICS'?

Back

The vowels are A, A, E, I (4 vowels) out of 11 letters, so P(Vowel) = 4/11.