Probability (A1.2.3.3.1)

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

The probability of an event A is calculated as: P(A) = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}.

Front

What is the difference between independent and dependent events in probability?

Back

Independent events do not affect each other's outcomes, while dependent events do.

Front

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

Back

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

Front

What is the probability of drawing a blue marble from a bag containing 5 red, 4 yellow, and 6 blue marbles?

Back

P(Blue) = \frac{6}{15} = \frac{2}{5}.

Front

What is the probability of drawing a red marble after drawing a blue marble without replacement?

Back

P(Red | Blue drawn) = \frac{5}{14}.

Front

What is the probability of drawing a red marble after drawing a blue marble with replacement?

Back

P(Red | Blue drawn) = \frac{5}{15} = \frac{1}{3}.

Front

How do you calculate the probability of an event not occurring?

Back

The probability of an event not occurring is: P(Not A) = 1 - P(A).

Front

What is the probability of spinning a spinner and landing on a specific section?

Back

If a spinner has n equal sections, the probability of landing on one specific section is: P(B) = \frac{1}{n}.

Front

What is the probability of landing on B twice in two spins of a spinner with 4 equal sections?

Back

P(B on both spins) = P(B) * P(B) = \left(\frac{1}{4}\right) * \left(\frac{1}{4}\right) = \frac{1}{16}.