Probability and combinations

Front

What is the probability of selecting a red marble from a jar containing 3 red and 5 blue marbles, replacing it, and then selecting another red marble?

Back

9/64

Front

How many ways can 125 juniors elect a president, vice president, and secretary?

Back

1906500

Front

What is the classification of the scenario where the top three runners in a race earn gold, silver, and bronze medals?

Back

Permutation

Front

What is the probability of selecting a red or black pen from a box containing 3 black pens, 7 blue pens, and 5 red pens?

Back

8/15

Front

What is the probability of selecting a brown M&M from a bowl containing 4 yellow, 6 orange, 3 green, 5 blue, and 2 brown M&Ms?

Back

1/10

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'?

Back

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

Front

What is a 'Permutation'?

Back

A permutation is an arrangement of items from a larger set where the order does matter.

Front

How do you calculate the probability of an event?

Back

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

Front

What is the formula for combinations?

Back

C(n, r) = n! / (r!(n-r)!) where n is the total number of items, and r is the number of items to choose.