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Why are the events of spinning a spinner and rolling a number cube independent events?
Wiki User
∙ 9y ago
Because the number cube is not sentient enough to know the result of the spinner and modify its own outcome accordingly. And conversely, the outcome of the spinner is not affected by the roll of the cube.
Wiki User
∙ 9y ago
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Is spinning a spinner and then rolling a die independent or dependent?
These are independent events; neither one depends on the results of the other.
When A spinner is divided into 10 equal sections numbered 1 through 10. Which 2 events are disjoint?
Spinning a number less than 4 and spinning at 6
What are the odds of rolling double six in dice-throwing?
This can be considered two independent Bernoulli events, so the probability of the whole is the product of the individual events, or (1/6)(1/6) = 1/36.
Which is a pair of independent events?
Two events are independent if the outcome of one has no effect on the probability of the outcomes for the other.
What is the probability of flipping heads and rolling an odd number?
These would be independent events; therefore, we can multiply the probabilities of each of the two events. Probability of flipping a head: 1/2 Probability of rolling an odd number with a single die: 1/6 Required probability : 1/2 x 1/6 = 1/12
Is spinning a spinner and then rolling a die independent or dependent?
These are independent events; neither one depends on the results of the other.
Does spinning a four section spinner affect a six-sided number cube will land upon when tossed?
Presuming that the spinner and the number cube are both "fair", then no - spinning the spinner and tossing the six-sided number cube are called statistically independent events. They do not influence each other, and it does not matter which order the events occur in.
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.
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
Are rolling two dice independent events?
Yes, they are.
When A spinner is divided into 10 equal sections numbered 1 through 10. Which 2 events are disjoint?
Spinning a number less than 4 and spinning at 6
What is an example of independence events?
An example of independent events is rolling a die and flipping a coin. The roll of the die has no affect on the flipping of the coin and the converse is true also. Another example is the rolling of a die followed by the rolling of a die - they are sequentially unrelated - so they are independent.
What are the odds of rolling double six in dice-throwing?
This can be considered two independent Bernoulli events, so the probability of the whole is the product of the individual events, or (1/6)(1/6) = 1/36.
What is the probability of spinning a blue and then a red or a yellow there are four colors on the board?
If there are four colors on a spinner, then the probability of spinning one particular color is 1 in 4, or 0.25. Also, the probability of spinning one of two particular colors is 2 in 4, or 0.5. Combining these two "unrelated" events simply requires multiplication. The probability, then, of spinning one particular color on one spin, and then spinning one of two particular colors on the next spin is (1 in 4) times (2 in 4), or 2 in 16, or 0.125.
Two events are independent if they have the same probability?
No, two events are independent if the outcome of one does not affect the outcome of the other. They may or may not have the same probability. Flipping two coins, or rolling two dice, are independent. Drawing two cards, however, are dependent, because the removal of the first card affects the possible outcomes (probability) of the second card.
How do historians refer to independent events that occur or change together but do not affect one another?
Concurrent independent events or simultaneous independent events
What is the probability of getting 5 in rolling a die given that 6 has occurred already?
If it is a fair die and rolled fairly, the two events are independent so that the probability is 1/6.
