Counting & Probability - Midterm Review

Front

What is the probability of selecting only 1 junior from a group of 12 juniors and 18 seniors when choosing 4 students?

Back

The probability is 9792/27405 or approximately 0.3573.

Front

How do you calculate the probability that all three job openings are filled by men from a pool of 6 men and 7 women?

Back

The probability is 20/286 or approximately 0.0699.

Front

How many distinct arrangements can be made of the word INFINITESIMAL?

Back

There are 129,729,600 distinct arrangements.

Front

What is the probability of hiring only one man from a pool of 6 men and 7 women for 3 job openings?

Back

The probability is 63/143 or approximately 0.4406.

Front

What is the probability that at least one of the 3 movies selected from 8 comedy and 6 drama movies is a comedy?

Back

The probability is 86/91 or approximately 0.9451.

Front

Define '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 a 'Combination' in probability?

Back

A combination is a selection of items from a larger pool where the order does not matter.

Front

What is a 'Permutation' in probability?

Back

A permutation is an arrangement of items where the order does matter.

Front

Explain the concept of 'Independent Events'.

Back

Independent events are events where the occurrence of one does not affect the probability of the other.

Front

Explain the concept of 'Dependent Events'.

Back

Dependent events are events where the occurrence of one event affects the probability of the other.