Question

match the scenario to the probability of it occuring. flipping a coin to get tails up pulling a white marble from a bag of 2 white marbles and 4 red marbles rolling a 3 on a number cube spinning blue on a spinner with four different colors in four equal parts

Explanation:

Step1: Analyze coin - flip

A coin has 2 sides (heads and tails). The probability of getting tails is $\frac{1}{2}$ since there is 1 favorable outcome (tails) out of 2 total outcomes.

Step2: Analyze marble - pull

There are 2 white marbles and 4 red marbles, so a total of $2 + 4=6$ marbles. The probability of pulling a white marble is $\frac{2}{6}=\frac{1}{3}$ (2 favorable outcomes out of 6 total outcomes).

Step3: Analyze number - cube roll

A number cube has 6 sides numbered 1 - 6. The probability of rolling a 3 is $\frac{1}{6}$ since there is 1 favorable outcome (rolling a 3) out of 6 total outcomes.

Step4: Analyze spinner spin

A spinner with 4 equal - colored parts has 4 total outcomes. The probability of spinning blue is $\frac{1}{4}$ since there is 1 favorable outcome (blue) out of 4 total outcomes.

Answer:

flipping a coin to get tails up: $\frac{1}{2}$
pulling a white marble from a bag of 2 white marbles and 4 red marbles: $\frac{1}{3}$
rolling a 3 on a number cube: $\frac{1}{6}$
spinning blue on a spinner with four different colors in four equal parts: $\frac{1}{4}$