Probability Flashcard

Front

What is the probability of an event?

Back

The probability of an event is a measure of the likelihood that the event will occur, expressed as a number between 0 (impossible) and 1 (certain).

Front

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

Back

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

Front

What does 'with replacement' mean in probability?

Back

'With replacement' means that after an item is selected, it is returned to the original set before the next selection, keeping the total number of items constant.

Front

What does 'without replacement' mean in probability?

Back

'Without replacement' means that once an item is selected, it is not returned to the original set, reducing the total number of items for subsequent selections.

Front

How do you calculate the probability of two independent events occurring together?

Back

For two independent events A and B, the probability of both occurring is P(A and B) = P(A) * P(B).

Front

What is the difference between 'and' and 'or' in probability?

Back

'And' refers to the intersection of events (both must occur), while 'or' refers to the union of events (at least one must occur).

Front

How do you calculate the probability of picking a specific card from a standard deck?

Back

The probability of picking a specific card is 1/52, since there are 52 cards in total.

Front

What is a combination in probability?

Back

A combination is a selection of items from a larger set where the order does not matter, calculated using the formula C(n, r) = n! / (r!(n-r)!).

Front

What is the total number of combinations for selecting 5 players from a team of 12?

Back

The total number of combinations is C(12, 5) = 12! / (5!(12-5)!) = 792.

Front

What is the probability of picking a number card divisible by 3 from a deck of cards?

Back

There are 12 number cards divisible by 3 in a deck (3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36), so the probability is 12/52 = 23.08%.