Probability review 2

Front

What is the formula for combinations when choosing r items from n options?

Back

The formula for combinations is given by: C(n, r) = \frac{n!}{r!(n-r)!}.

Front

How many ways can you choose 3 side dishes from 9 options?

Back

Using the combinations formula: C(9, 3) = \frac{9!}{3!(9-3)!} = 84.

Front

What is the probability of an event?

Back

The probability of an event is the number of favorable outcomes divided by the total number of possible outcomes.

Front

If a spinner has 5 equal sections, what is the probability of landing on one specific section?

Back

The probability is \frac{1}{5}.

Front

What is the probability of landing on orange if there are 3 orange sections out of 5 total sections?

Back

The probability is \frac{3}{5}.

Front

What is the probability of getting tails when flipping a coin?

Back

The probability is \frac{1}{2}.

Front

What is the probability of rolling a number greater than 2 on a number cube (1-6)?

Back

The favorable outcomes are 3, 4, 5, 6. So, the probability is \frac{4}{6} = \frac{2}{3}.

Front

What is the combined probability of two independent events A and B occurring?

Back

The combined probability is P(A) * P(B).

Front

What is the probability of landing on blue first and then yellow or green if the spinner has 4 equal sections: blue, yellow, green, and red?

Back

P(blue) = \frac{1}{4}, P(yellow or green) = \frac{2}{4} = \frac{1}{2}. Combined probability = \frac{1}{4} * \frac{1}{2} = \frac{1}{8}.

Front

What is the proportion of males in a group of 342 students if there are 198 males?

Back

The proportion is \frac{198}{342}.