Probability - Multiplication Rule

Front

What is the Multiplication Rule in probability?

Back

The Multiplication Rule states that the probability of two independent events occurring together is the product of their individual probabilities. If A and B are independent events, then P(A and B) = P(A) * P(B).

Front

How do you calculate the probability of selecting one item from a group?

Back

To calculate the probability of selecting one item from a group, use the formula: P(event) = (number of favorable outcomes) / (total number of outcomes).

Front

If Sonia has 5 yellow, 2 red, and 3 blue hair clips, what is the total number of hair clips?

Back

The total number of hair clips is 5 + 2 + 3 = 10.

Front

What is the probability of selecting a yellow hair clip from Sonia's collection?

Back

The probability of selecting a yellow hair clip is P(yellow) = (number of yellow clips) / (total clips) = 5/10 = 1/2.

Front

What is the probability of selecting a blue hair clip after selecting a yellow hair clip without replacement?

Back

After selecting a yellow hair clip, there are now 9 clips left. The probability of selecting a blue hair clip is P(blue) = (number of blue clips) / (remaining clips) = 3/9 = 1/3.

Front

What is the probability of getting 'Blue, Tails' when spinning a spinner with 4 colors and flipping a coin?

Back

The probability of getting 'Blue' is 1/4 and the probability of getting 'Tails' is 1/2. Therefore, P(Blue, Tails) = (1/4) * (1/2) = 1/8.

Front

How do you find the probability of two dependent events?

Back

For dependent events, the probability of both events occurring is calculated as P(A and B) = P(A) * P(B|A), where P(B|A) is the probability of B given that A has occurred.

Front

What is the probability of drawing two specific cards from a deck without replacement?

Back

The probability of drawing two specific cards without replacement is calculated as P(first card) * P(second card | first card drawn).

Front

If two spinners are spun, what is the probability of landing on numbers that sum to 3.5?

Back

The probability of landing on numbers that sum to 3.5 depends on the specific numbers on the spinners. If they are integers, the probability is 0, as no two integers can sum to a half.

Front

What expression represents the probability that the third key selected will unlock the cabinet?

Back

The expression is P(third key is correct) = (9/10) * (8/9) * (1/8).