Probability - Hoover Math Olympiad

Front

What is probability?

Back

Probability is a measure of how likely an event is to occur, expressed as a number between 0 (impossible) and 1 (certain).

Front

What does it mean if an event is 'impossible'?

Back

An impossible event is one that cannot happen. For example, rolling a 15 with a pair of dice is impossible.

Front

What does it mean if an event is 'certain'?

Back

A certain event is one that will definitely happen. For example, the sun will rise tomorrow.

Front

What is an 'even chance' in probability?

Back

An even chance means that there are equal probabilities for two outcomes. For example, flipping a fair coin has an even chance of landing heads or tails.

Front

How do you calculate the probability of an event?

Back

Probability = (Number of favorable outcomes) / (Total number of possible outcomes).

Front

What is the probability of rolling a number greater than 4 with a single die?

Back

The probability is 1/3, since the favorable outcomes are 5 and 6.

Front

If there are 6 yellow cards, 4 blue cards, and 10 green cards, what is the total number of cards?

Back

The total number of cards is 20 (6 + 4 + 10).

Front

What is the probability of choosing a blue card from a bag with 6 yellow, 4 blue, and 10 green cards?

Back

The probability is 1/5, since there are 4 blue cards out of 20 total cards.

Front

What is experimental probability?

Back

Experimental probability is the probability based on the actual results of an experiment, calculated as (Number of successful outcomes) / (Total number of trials).

Front

If Manny had 6 hits out of 15 at bats, what is his experimental probability of getting a hit?

Back

The experimental probability is 2/5.