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 P(x) be the probability of picking a card with a number x. Then:
P(2) = 1/4 (since there is 1 card with a 2 and 4 cards in total)
P(4) = 1/4
P(6) = 1/4
P(10) = 1/4
The probability model for this experiment is:
P(x) = 1/4, for x = 2,4,6,10.
To describe the probability model for this experiment, we need to assign probabilities to each possible outcome. In this case, there are four possible outcomes: picking the card 2, 4, 6, or 10.
Let's define the random variable X as the card that is picked. Then, the probability model can be represented using an equation:
P(X = 2) + P(X = 4) + P(X = 6) + P(X = 10) = 1
Now, we just need to assign the appropriate probabilities to each outcome, considering that each card has an equal chance of being picked:
P(X = 2) = P(X = 4) = P(X = 6) = P(X = 10) = 1/4
Therefore, the probability model for this experiment can be represented by the equation:
P(X = 2) + P(X = 4) + P(X = 6) + P(X = 10) = 1
where each probability P(X = x) is equal to 1/4.
To find the probability model for this experiment, we need to determine the probability of selecting each card. In this case, there are four cards: 2, 4, 6, and 10.
Let's use the variable `X` to represent the card selected. The probability model will consist of the possible values of `X` and their associated probabilities.
Since each card has an equal chance of being selected, we can assign a probability of 1/4 to each card. Therefore, the probability model in equation form is:
P(X = 2) = 1/4
P(X = 4) = 1/4
P(X = 6) = 1/4
P(X = 10) = 1/4