Topic 12 Test Remediation

A bag contains 3 red marbles, 2 blue marbles, and 5 green marbles. What is the total number of possible outcomes if you pick one marble from the bag?

• 8

• 10

• 5

• 6

Answer explanation

The bag contains 3 red, 2 blue, and 5 green marbles. Adding these gives 3 + 2 + 5 = 10 total marbles. Therefore, the total number of possible outcomes when picking one marble is 10.

What is the probability of rolling a 4 on a standard six-sided die?

Answer explanation

A standard six-sided die has six faces, numbered 1 to 6. The probability of rolling any specific number, including a 4, is the number of favorable outcomes (1) divided by the total outcomes (6), which is \(\frac{1}{6}\).

If you flip a coin 20 times and get heads 12 times, what is the experimental probability of getting heads? SIMPLIFY YOUR FRACTION!

Answer explanation

The experimental probability of getting heads is calculated by dividing the number of heads (12) by the total flips (20). This simplifies to \frac{12}{20} = \frac{3}{5}, which is the correct answer.

Which event is more likely: rolling a number greater than 4 on a six-sided die, or rolling an even number?

• Rolling a number greater than 4

• Rolling an even number

• Both are equally likely

• Neither is possible

Answer explanation

Rolling a number greater than 4 on a six-sided die gives outcomes 5 and 6 (2 outcomes). Rolling an even number gives outcomes 2, 4, and 6 (3 outcomes). Thus, rolling an even number is more likely.

A spinner is divided into 4 equal sections labeled A, B, C, and D. What is the theoretical probability of the spinner landing on section C?

Answer explanation

The spinner has 4 equal sections. The probability of landing on any one section, including C, is the number of favorable outcomes (1 for C) divided by the total outcomes (4 sections). Thus, the probability is \(\frac{1}{4}\).

A bag contains 5 yellow balls and 15 black balls. What is the probability of picking a yellow ball?

Answer explanation

The total number of balls is 5 yellow + 15 black = 20. The probability of picking a yellow ball is the number of yellow balls divided by the total number of balls: 5/20 = 1/4. Thus, the correct answer is \(\frac{1}{4}\).

Which has a higher probability: drawing a king or drawing a red card from a standard deck of 52 cards?

• Drawing a king

• Drawing a red card

• Both are equally likely

• Drawing a black card

Answer explanation

In a standard deck, there are 4 kings and 26 red cards (13 hearts and 13 diamonds). The probability of drawing a king is 4/52, while the probability of drawing a red card is 26/52. Thus, drawing a red card is more likely.

A coin is flipped 50 times and lands on tails 30 times. What is the experimental probability of getting tails? SIMPLIFY YOUR FRACTION

Answer explanation

The experimental probability of getting tails is calculated by dividing the number of tails (30) by the total flips (50). This gives \( \frac{30}{50} = \frac{3}{5} \), which is the simplified fraction.

If you pick a number at random from 1 to 10, what is the probability that it is an even number? SIMPLIFY YOUR FRACTION

Answer explanation

There are 5 even numbers (2, 4, 6, 8, 10) between 1 and 10. The total numbers are 10. Thus, the probability of picking an even number is 5/10, which simplifies to 1/2.

A bag contains 4 green, 3 blue, and 3 red marbles. What is the number of favorable outcomes for picking a blue marble?

• 3

• 4

• 10

• 7

Answer explanation

The bag contains 3 blue marbles. Therefore, the number of favorable outcomes for picking a blue marble is 3, which corresponds to the correct answer choice.