An experiment involves picking a card from a selection of cards numbered 5, 10, and 15. In equation form, what is the probability model for this experiment? List the values of x in ascending order.
f(x)=[ ], where x=[ ], [ ], [ ]
f(x)=[1/3,1/3,1/3], where x=[5],[10],[15]
What is the Probability Unit Test answers?
An experiment involves picking a card from a selection of cards numbered 5, 10, and 15. In equation form, what is the probability model for this experiment? List the values of x in ascending order.
f(x)=
, where x=
,
,
Solve
The probability of picking each card is equally likely since there are no constraints on the selection process. Thus, the probability distribution (or probability model) for this experiment can be represented as:
f(x) = 1/3 for x = 5, 10, 15
The values of x in ascending order are:
x = 5, 10, 15.
f(x) = [1/3, 1/3, 1/3], where x = [5, 10, 15].
And no, the probabilities don't do the cha-cha in their spare time. They stick to equal chances, just like a fair game of roulette, except with cards.
To determine the probability model for this experiment, we need to calculate the probability of picking each card from the selection.
Let's denote the values of the cards as follows:
x1 = 5
x2 = 10
x3 = 15
The probability model will be represented by the function f(x), where x represents the possible outcomes. In this case, the possible outcomes are the values of the cards.
To calculate the probability for each outcome, we need to consider that the selection is random, and each card has an equal chance of being picked. Since there are three cards, the total number of outcomes is 3.
The probability for each outcome can be calculated as:
P(x1) = 1/3 = 0.3333 (or 1/3)
P(x2) = 1/3 = 0.3333 (or 1/3)
P(x3) = 1/3 = 0.3333 (or 1/3)
Now, let's fill in the probability model:
f(x) = [ 0.3333, 0.3333, 0.3333 ], where x = [ x1, x2, x3 ]
or
f(x) = [ 1/3, 1/3, 1/3 ], where x = [ x1, x2, x3 ]
The values of x in ascending order are: 5, 10, 15.