Theoretical Probability Sample Space

A bag contains 2 red, 3 green, 3 blue, 2 orange and 5 yellow marbles. Each marble is replaced after the first one is drawn. Find the theoretical probability of getting a green marble and then a red marble after. P (green, red)

• 1/15

• 5/75

• 2/75

• 1/25

A bag contains 2 red, 3 green, 3 blue, 2 orange and 5 yellow marbles. Each marble is replaced after the first one is drawn. Find the theoretical probability of getting an orange marble and then a yellow marble after. P (orange, yellow)

• 2/45

• 7/30

• 1/30

• 9/25

The spinner shown is spun twice. Find the theoretical probability that the two numbers have an even sum.

• 1/3

• 1/8

• 1/2

• 1/16

The spinner shown is spun twice. Find the theoretical probability of having two even numbers.

• 1/3

• 1/8

• 1/2

• 1/16

A bag has 4 green marbles, 3 red, 2 blue and 1 yellow. What is the theoretical probability of pulling a red?

• 3/10

• 3/6

• 1/9

• 1/3

The tree diagram shows the outcomes of rolling a die and flipping a coin.  
What is the probability of rolling an even number and flipping a head?

• ³/₁₂

• ¹/₂

• ⁴/₁₂

• ⁰/₁₂

The tree diagram shows the outcomes of rolling a die and flipping a coin.  
What is the probability of rolling a number higher than 3 and flipping a tails?

• ¹/₁₂

• ²/₁₂

• ³/₁₂

• ⁴/₁₂

If you spin two spinners, one with 2, 4 and 6 and the other with 1, 3 and 5, what is the sample space?

• 1, 2, 3, 4, 5, 6

• 2, 4, 6

• 1, 3, 5

• (1, 2), (1, 4), (1, 6), (3, 2), (3, 4), (3, 6), (5, 2), (5, 4), (5,6)

What is the probability of randomly choosing a breakfast with a bagel and coffee?

• 1/8 because there is only 1 outcome out of the 8 possible choices that include both a bagel and coffee.

• 1/2 because there is only cereal and a bagel to choose from

• 1/4 because there is only one out of the four choices that include coffee

• 3 because the words "coffee" and "bagel" are on the diagram a total of 3 times.

What is the theoretical probability of the spinner landing on a 5?

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