Chapter 3/Probability Review

Front

What is the result of multiplying the fractions \( \frac{7}{10} \) and \( \frac{3}{5} \)?

Back

The result is \( \frac{21}{50} \).

Front

How do you perform the operation \( 20 \div 4 \cdot 5 \)?

Back

First, divide 20 by 4 to get 5, then multiply by 5 to get 25.

Front

In which fraction operation can you cross cancel?

Back

You can cross cancel in multiplication of fractions.

Front

What is the probability of drawing two purple marbles from a box containing 5 purple, 3 green, and 2 orange marbles without replacement?

Back

The probability is \( \frac{2}{9} \).

Front

If a jar contains 2 pink, 6 red, and 4 blue marbles, what is the probability of picking a red or blue marble?

Back

The probability is \( \frac{5}{6} \).

Front

What is the formula for calculating the probability of an event?

Back

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

Front

What does it mean to cross cancel in fraction multiplication?

Back

Cross canceling means to simplify fractions before multiplying by dividing the numerator of one fraction by the denominator of another if they share a common factor.

Front

What is a mixed number?

Back

A mixed number is a whole number combined with a proper fraction, such as \( 1 \frac{1}{2} \).

Front

How do you convert an improper fraction to a mixed number?

Back

Divide the numerator by the denominator; the quotient is the whole number, and the remainder over the denominator is the fraction.

Front

What is the total number of marbles in a box containing 5 purple, 3 green, and 2 orange marbles?

Back

The total number of marbles is 10.