Part A:
The probability of rolling a 5 on a number cube with faces numbered 1 through 6 is 1/6. Since there is only one face with a 5 on it out of 6 faces. Therefore, the probability is 1/6.
Part B:
The odd numbers on the number cube are 1, 3, and 5. So, the probability of rolling an odd number is 3/6 or 1/2. Since there are 3 odd numbers out of 6 on the cube.
Part C:
The probability of rolling a 2 on the number cube is 1/6. The probability of the arrow landing on the green section of the spinner is 1/3. Since there is only one green section out of 3 on the spinner. So, the combined probability is 1/6 * 1/3 = 1/18.
Part D:
The even numbers on the number cube are 2, 4, and 6. So, the probability of rolling an even number is 3/6 or 1/2. The probability of the arrow not landing on blue is 2/3, because there are 2 sections that are not blue out of 3 on the spinner. Therefore, the combined probability is 1/2 * 2/3 = 1/3.
This question has four parts.
Students are playing a game. They roll a number cube once and then spin the arrow on a spinner once.
The number cube has faces numbered 1 through 6
The spinner has 3 equal-sized sections. One section is colored blue, one red, and one green.
Part A
What is the probability that, on a student’s turn, the number cube will land with a 5 on the top face? Show or explain how you got your answer.
Part B
What is the probability that, on a student’s turn, the number cube will land with an odd number on the top face? Show or explain how you got your answer.
Part C
What is the probability that, on a student’s turn, the number cube will land with a 2 on the top face and the arrow on the spinner will land on the section that is green? Show or explain how you got your answer.
Part D
What is the probability that, on a student’s turn, the number cube will land with an even number on the top face and the arrow on the spinner will land on a section that is not blue? Show or explain how you got your answer.
Be sure to label each part of your answer.
1 answer
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