1. What is the probability of rolling an odd number on a number cube and spinning blue on the spinner shown?

2. A locker combination has two nonzero digits, and digits can be used twice. The first number is 8. What is the probability that the second number is 8?

3. A locker combination has three nonzero digits, and digits cannot be repeated. If the first digit is odd, what is the probability that the second digit is even?

4.A bag held 2 orange marbles, 3 black marbles, and 5 pink marbles. I drew a pink marble and did not replace it. What is the probability of drawing a pink marble next?

5. What is the probability that both spinners land on red or orange?

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Answer:

Step-by-step explanation:

1.

P(odd) = 3/6 = 1/2

P(blue) = 1/5

P(odd and blue) = 1/2*1/5 = 1/10

2.

Possible outcomes are 9 as all non-zero digits. And 8 is one of them.

P(8) = 1/9

3.

Non-zero digits: 1, 2, 3, 4, 5, 6, 7, 8, 9

5 of them are odd and 4 of them are even.

One digit is discounted as can't repeat and 4 out of remaining 8 are even.

P(even) = 4/8 = 1/2

4.

Remaining marbles: 2 orange, 3 black, 4 pink. Total 9

P(pink) = 4/9

5.

Each spinner has 3 colors.

P(red or orange) = 2/3

P(both red or orange) = 2/3*2/3 = 4/9

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