Statistics and Probability

Front

What is 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?

Back

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

Front

If a die is rolled, what is the probability of rolling a number greater than 4?

Back

P(rolling > 4) = 2/6 = 1/3.

Front

What is the probability of drawing a red marble from a bag containing 3 red, 5 green, and 3 blue marbles?

Back

P(red) = 3/(3+5+3) = 3/11.

Front

What is the probability of selecting a mint from a jar containing 12 caramels, 7 mints, and 16 dark chocolates?

Back

P(mint) = 7/(12+7+16) = 7/35.

Front

What is the probability of not rolling a 3 on a 6-sided die?

Back

P(not 3) = 5/6.

Front

What is the probability of pulling a black mitten from a drawer containing 2 blue, 6 black, and 8 gray mittens?

Back

P(black) = 6/(2+6+8) = 6/16 = 3/8.

Front

What is the probability of selecting a red marble after pulling a purple marble from a bag containing 3 red, 5 green, 3 blue, and 7 purple marbles?

Back

P(red after purple) = 3/(3+5+3+7-1) = 3/17.

Front

What is the probability of rolling an odd number on a 6-sided die?

Back

P(odd) = 3/6 = 1/2.

Front

What is the concept of independent events in probability?

Back

Independent events are events where the outcome of one event does not affect the outcome of another.