Simple and Compound Probability

Front

What is the definition of probability?

Back

Probability is a measure of the likelihood that an event will occur, expressed as a number between 0 and 1.

Front

What is the formula for calculating the probability of an event A occurring?

Back

P(A) = Number of favorable outcomes for A / Total number of possible outcomes.

Front

What does P(not A) represent in probability?

Back

P(not A) represents the probability that event A does not occur, calculated as 1 - P(A).

Front

How do you calculate the probability of two independent events A and B both occurring?

Back

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

Front

What is the probability of drawing a specific item from a set?

Back

The probability is calculated as the number of that specific item divided by the total number of items in the set.

Front

In a fruit basket with 9 apples, 3 bananas, 7 oranges, 5 pears, and 1 grapefruit, how do you find the probability of choosing two pears without replacement?

Back

Calculate the probability of choosing the first pear, then the second pear from the remaining fruits: P(1st pear) * P(2nd pear | 1st pear).

Front

What is the total number of letters in the word 'ALGEBRA'?

Back

There are 7 letters in the word 'ALGEBRA'.

Front

How do you calculate the probability of choosing a letter that is not 'A' from the word 'ALGEBRA'?

Back

Count the letters that are not 'A' (5 letters) and divide by the total number of letters (7): P(not A) = 5/7.

Front

What are the prime numbers on a standard six-sided die?

Back

The prime numbers on a six-sided die are 2, 3, and 5.

Front

What is the probability of rolling an even number on a six-sided die?

Back

There are 3 even numbers (2, 4, 6) out of 6 total numbers, so P(even) = 3/6 = 1/2.