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Q: Rolling a number cube and spinning a spinner is independent or dependent?
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What is the probability that you will spin a 4 and roll a 4?

Assuming each possible number on a spinner has the same probability and an unbiased die is being rolled, the answer depends on how many numbers are on the spinner, and how many times the number 4 appears on each.To find the probability, workout the probability of spinning a 4 on the spinner and the probability of rolling a 4 on the die; then as spinning the spinner has no effect on rolling the die, they are independent events and to get the probability of both happening multiply them together.The probability of success is the number of successful outcomes divided by the total number of outcomes, giving:Probability(spinning a 4) = how_many_4s_are_on_the_spinner / how_many_numbers_are_on_the_spinnerProbability(rolling a 4) = how_many_4s_are_on_the_die / how_many_numbers_are_on_the_dieProbability(spinning a 4 and rolling a 4) = Probability(spinning a 4) × Probability(rolling a 4)Examples:an octagonal spinner with the numbers 1-4 on it each twice and a tetrahedral die (as used in D&D games) with the numbers 1-4 on it→ pr(spin 4 & roll 4) = 2/8 × 1/4 = 1/16a decagonal spinner with the numbers 0-9 and a tetrahedral die with the numbers 0-3 on it→ pr(spin 4 & roll 4) = 1/10 × 0/4 = 0a decagonal spinner with the numbers 0-9 and a standard die with the numbers 1-6 on it→ pr(spin 4 & roll 4) = 1/10 × 1/6 =1/60


How many outcomes are there for the event of rolling a 6 sided number cube and then spinning a 10 part spinner?

We say that these are independent events, meaning that the outcome of rolling the cube does not influence what outcome of rotating the spinner. For each outcome of rolling the cube there are 10 outcomes from the spinner. We can therefore, multiply the numbers of possibilities: 6 * 10 = 60 One way of seeing this is to list the possible outcomes : C1 S1 C1 S2 C1 S3 . . . C1 S10 Notice that there are 10 spinner possibilities for one cube event. There are 5 more possible cube events, hence, 50 combination events.


How many outcomes are there for flipping a coin and spinning a spinner that has 6 different colored sections?

There are 2 * 6 or 12 outcomes for flipping a coin and spinning a spinner that has 6 different colored sections.


How many different outcomes are there for spinning a spinner with 8 sections and tossing a coin?

16


If you have a spinner numbered 1 to 5 What is the probability of spinning a 2?

2:5