An experiment involves picking a card from the number cards 2, 4, 6, 10. In equation form. What is the probability model for this experiment?
Let X represent the number on the card drawn. Then, the probability model for this experiment is:
P(X = 2) = 1/4
P(X = 4) = 1/4
P(X = 6) = 1/4
P(X = 10) = 1/4
This is a discrete uniform probability distribution, since each outcome has an equal probability of occurring.
To determine the probability model for this experiment, we need to determine the probabilities of picking each number card.
Step 1: Determine the total number of possible outcomes.
There are 4 number cards to choose from: 2, 4, 6, and 10.
Step 2: Assign probabilities to each outcome.
Since each card is equally likely to be chosen, the probability of picking any specific card is 1 out of 4.
Step 3: Write the probability model in equation form.
Let's represent the probability of picking the number card x as P(x).
Therefore, the probability model for this experiment in equation form is:
P(2) = 1/4
P(4) = 1/4
P(6) = 1/4
P(10) = 1/4
To determine the probability model for this experiment, we need to first identify the sample space, which is the set of all possible outcomes. In this case, the number cards available are 2, 4, 6, and 10.
The sample space, denoted by S, is therefore S = {2, 4, 6, 10}.
Next, we need to assign probabilities to each outcome in the sample space. Since there is no additional information provided, we will assume that all outcomes are equally likely.
Since there are four cards in the sample space, each with equal chances of being picked, we can assign a probability of 1/4 to each outcome.
Therefore, the probability model for this experiment can be represented as:
P(2) = 1/4
P(4) = 1/4
P(6) = 1/4
P(10) = 1/4