Ch 12 Test Review - Probability (Acc Geo w Exp and Factoring)

Front

What is the formula to calculate the number of ways to choose 'r' items from 'n' items?

Back

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

Front

How do you calculate the probability of an event occurring?

Back

Probability is calculated as: \( P(E) = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}} \)

Front

What is the probability of selecting two purple marbles from a bag containing 4 red, 5 blue, 3 purple, and 8 yellow marbles without replacement?

Back

The probability is: \( P(purple \text{ and } purple) = \frac{3}{20} \times \frac{2}{19} = 0.16 \text{ or } 1.6\% \)

Front

How do you find the probability of landing on a specific color in a spinner with equal sections?

Back

The probability is calculated as: \( P(color) = \frac{\text{Number of sections of that color}}{\text{Total sections}} \)

Front

What is the probability of spinning a 3 or an odd number on a spinner with 8 sections?

Back

The probability is: \( P(3 \text{ or odd}) = \frac{4}{8} = 0.5 \text{ or } 50\% \)

Front

What is a trinomial?

Back

A trinomial is a polynomial with three terms, typically in the form \( ax^2 + bx + c \).

Front

How do you factor the trinomial \( x^2 - 8x + 15 \)?

Back

The factored form is: \( (x-3)(x-5) \)

Front

What is the total number of faculty members if 2 are to be selected from 65?

Back

The total ways to select 2 faculty members from 65 is: \( C(65, 2) = 2080 \)

Front

What does it mean for events to be independent in probability?

Back

Two events are independent if the occurrence of one does not affect the probability of the other.

Front

What is the difference between permutations and combinations?

Back

Permutations consider the order of selection, while combinations do not.