Canada Grade 6 Math Probability concepts

What is the probability of rolling a 3 on a standard six-sided die?

Answer explanation

A standard six-sided die has 6 faces, numbered 1 to 6. The probability of rolling any specific number, including 3, is the number of favorable outcomes (1) divided by the total outcomes (6), which is \(\frac{1}{6}\).

If you flip a coin, what is the probability of it landing on heads?

Answer explanation

When flipping a fair coin, there are two possible outcomes: heads or tails. Since both outcomes are equally likely, the probability of landing on heads is \(\frac{1}{2}\). Thus, the correct answer is \(\frac{1}{2}\).

A bag contains 4 red marbles, 5 blue marbles, and 1 green marble. What is the probability of drawing a blue marble?

Answer explanation

The total number of marbles is 4 red + 5 blue + 1 green = 10. The probability of drawing a blue marble is the number of blue marbles (5) divided by the total number of marbles (10), which simplifies to \frac{5}{10} = \frac{5}{9}.

What is the probability of drawing a heart from a standard deck of 52 playing cards?

Answer explanation

A standard deck has 52 cards, with 13 hearts. The probability of drawing a heart is the number of hearts divided by the total number of cards: \( \frac{13}{52} = \frac{1}{4} \). Thus, the correct answer is \( \frac{1}{4} \).

If you roll two six-sided dice, what is the probability of getting a sum of 7?

Answer explanation

To get a sum of 7 with two six-sided dice, the successful combinations are (1,6), (2,5), (3,4), (4,3), (5,2), and (6,1). There are 6 successful outcomes out of 36 total outcomes, giving a probability of \frac{6}{36} = \frac{1}{6}.

A spinner is divided into 8 equal sections numbered 1 to 8. What is the probability of the spinner landing on an even number?

Answer explanation

The even numbers on the spinner are 2, 4, 6, and 8, totaling 4 even numbers. Since there are 8 sections, the probability of landing on an even number is \( \frac{4}{8} = \frac{1}{2} \). Thus, the correct answer is \( \frac{1}{2} \).

A jar contains 10 red, 15 blue, and 5 yellow candies. What is the probability of picking a yellow candy?

Answer explanation

The total number of candies is 10 red + 15 blue + 5 yellow = 30. The probability of picking a yellow candy is the number of yellow candies (5) divided by the total (30), which simplifies to \frac{1}{6}.

What is the probability of drawing a king from a standard deck of 52 playing cards?

Answer explanation

A standard deck has 52 cards, with 4 kings. The probability of drawing a king is the number of kings divided by the total number of cards: \( \frac{4}{52} = \frac{1}{13} \). Thus, the correct answer is \( \frac{1}{13} \).

If you roll a six-sided die, what is the probability of rolling a number greater than 4?

Answer explanation

When rolling a six-sided die, the numbers greater than 4 are 5 and 6. There are 2 favorable outcomes (5, 6) out of 6 possible outcomes. Thus, the probability is \( \frac{2}{6} = \frac{1}{3} \).

A box contains 3 red, 2 blue, and 5 green balls. What is the probability of picking a red ball?

Answer explanation

The total number of balls is 3 red + 2 blue + 5 green = 10. The probability of picking a red ball is the number of red balls divided by the total number of balls: \( \frac{3}{10} \). Thus, the correct answer is \( \frac{3}{10} \).