The theoretical probability of an event can be defined as the ratio of the number of favorable outcomes to the total number of outcomes in the sample space. For example, if a die is tossed, the probability of getting a 4 is because 4 is one of six possible outcomes.
What are the total number of favorable outcomes?
The probability of an event is the number of favorable outcomes divided by the total number of outcomes possible . Converting the fraction 35 to a decimal, we would say there is a 0.6 probability of choosing a banana. This basic definition of probability assumes that all the outcomes are equally likely to occur.
What is the ratio of the number of favorable outcomes to the total number of outcomes?
The possible results of an experiment are outcomes. ... The ratio of the number of favorable outcomes to the number of unfavorable outcomes is called the odds in favor of an event . Odds against. The ratio of the number of unfavorable outcomes to the number of favorable outcomes is called the odds against an event.
What is the ratio of favorable outcomes to unfavorable outcomes?
The ratio of the number of favorable outcomes to the number of unfavorable outcomes is called the odds in favor of an event. The ratio of the number of unfavorable outcomes to the number of favorable outcomes is called the odds against an event.
What do you call the ratio of the number of outcomes in an event to the total number of outcomes in the sample space?
To calculate the probability of an event A when all outcomes in the sample space are equally likely, count the number of outcomes for event A and divide by the total number of outcomes in the sample space. For examples: If you toss a fair dime and a fair nickel, you will see four possible outcomes.
What is a list of outcomes called?
The list of all the possible outcomes is called the SAMPLE SPACE (S) . An event is any outcome or set of outcomes of a random phenomenon.
What type of probability is based on reasoning written as a ratio of the number of favorable outcomes to the number of possible outcomes?
Odds in probability of a particular event, means the ratio between the number of favorable outcomes to the number of unfavorable outcomes. You just studied 20 terms!
What fraction correctly shows the probability of 14 favorable outcomes out of 21 possible outcomes?
Answer 25 What fraction correctly shows the probability of 14 favorable outcomes out of 21 possible outcomes? Answer 2/3 (Enter as a reduced fraction using / for the fraction bar.
What is the possible outcomes?
Possible Outcomes – a list of all the resulting possibilities from an event . e.g. When rolling a die – all possible outcomes are 1, 2, 3, 4, 5, 6. 6. Favorable Outcome – the result that is desired. e.g. Roll a 4 on a die → 4 is the only favorable outcome.
What is a unfavorable outcome?
An unfavorable outcome is any outcome not in the event we’re looking at . Try to keep this straight from an unflavorable outcome, which is one that’s bland and tasteless.
How do you find the odds of an outcome?
The odds take the probability of an event occurring and divide it by the probability of the event not occurring . So in the case of rolling a three on the first try, the probability is 1/6 that you will roll a three, while the probability that you won’t roll a three is 5/6.
What is the set of all possible outcomes of an experiment?
A set of all possible outcomes of an experiment is called a sample space . We shall denote the sample space by S. Hence, that the sample space is simply the set of all possible sample points of a given experiment.
When a coin is tossed there are 3 possible outcomes?
If we toss three coins, we have a total of 2 × 2 × 2 = 8 possible outcomes: HHH, HHT, HTH, HTT, THH, THT, TTH, and TTT, as shown in Figure 6.4 b.
What are the three methods used to identify sample spaces?
- How many outcomes are possible?
- What is the probability space?
- Identify the events.
What is the formula in getting the probability?
Formula for the probability of A and B (independent events): p(A and B) = p(A) * p(B) . If the probability of one event doesn’t affect the other, you have an independent event. All you do is multiply the probability of one by the probability of another.
How many outcomes are in the sample space?
There are four outcomes in the sample space.
