G-10 Probability

Front

What is the probability of getting an even number when a die is thrown?

Back

The even numbers on a die are 2, 4, and 6. There are 3 even numbers out of 6 total outcomes, so the probability is \( \frac{3}{6} = \frac{1}{2} \). However, if we consider even numbers less than or equal to 4, the even numbers are 2 and 4, giving a probability of \( \frac{2}{6} = \frac{1}{3} \).

Front

How do you calculate the probability of drawing a blue ball from a bag containing 24 balls (4 red, 8 white, and 12 blue)?

Back

The total number of balls is 24. The number of blue balls is 12. The probability of drawing a blue ball is \( \frac{12}{24} = \frac{1}{2} \).

Front

What is the probability of getting a head in a single throw of a die?

Back

A die has 6 faces, and none of them are heads. Therefore, the probability of getting a head is 0.

Front

Which of the following cannot be the probability of an event: 1/2, 6/7, 7/5, 0.25?

Back

7/5 cannot be a probability because probabilities must be between 0 and 1.

Front

If the probability of an event happening is P, what is the probability of it not happening?

Back

The probability of the event not happening is given by \( 1 - P \).

Front

What is the range of possible values for probability?

Back

The range of possible values for probability is from 0 to 1, inclusive.

Front

What is the probability of rolling a number greater than 4 on a standard die?

Back

The numbers greater than 4 are 5 and 6. Therefore, the probability is \( \frac{2}{6} = \frac{1}{3} \).

Front

How do you find the probability of an event that cannot occur?

Back

The probability of an event that cannot occur is 0.

Front

What is the probability of drawing a red ball from a bag containing 4 red, 8 white, and 12 blue balls?

Back

The total number of balls is 24. The number of red balls is 4. The probability of drawing a red ball is \( \frac{4}{24} = \frac{1}{6} \).

Front

What is the probability of getting a number less than 3 when rolling a die?

Back

The numbers less than 3 are 1 and 2. Therefore, the probability is \( \frac{2}{6} = \frac{1}{3} \).