1. The probability of rolling a 2 on a standard six-sided die is 1/6.
2. The probability of rolling an even number (2, 4, or 6) on a six-sided die is 3/6, which simplifies to 1/2.
3. The bag contains 3 red, 3 blue, and 1 green marble, totaling 7 marbles. The probability of drawing a blue marble is 3/7.
4. The bag contains 6 numbered tiles: 3, 7, 8, 9, 13, and 15. The odd numbers are 3, 7, 9, and 13, so there are 4 odd numbers. The probability of picking an odd number is 4/6, which simplifies to 2/3.
5. The probability that Mr. Jones will select a boy is 3/5, since there are 3 boys (John, Luke, and James) out of 5 children. The probability that he will select a girl is 2/5, since there are 2 girls (Mary and Carla). This game is not fair because the probabilities are not equal (3/5 ≠ 2/5).
6. John wins if he rolls a number higher than 4 (i.e., 5 or 6), which has a probability of 2/6 = 1/3. Jackie wins if the number rolled is 4 or less (i.e., 1, 2, 3, or 4), which has a probability of 4/6 = 2/3. Since the probabilities are not equal, the game is not fair.
Parent Tip: Review the logic above to help your child master the concept of probability word problems worksheet.