Three people are to be selected at random, each will be given one gift card.
There is one card from Home Depot,one from Best Buy and one from Red Lobster. The first person selected will get to choose between the two remaining cards. The third person selected gets the third card.
a) Determine the number of points in the sample space.
b) construct a tree diagram and determine the sample space.
Determine the probability that
a) the best buy card is selected first
b)the home depot card is selected first and the red lobster card is selected last
c)the cards are selected in this order best buy, red lobster, home depo
No one has answered this question yet
Carol, you have now posted this question 3 times
I had some reservations and concerns about it
http://www.jiskha.com/display.cgi?id=1359762525
You never cleared up any of these concerns, and reposted it exactly the same way.
It is still equally confusing.
Did you not read my reply?
Reiny I just read your replies but this is how the question is worded. That is why I myself do not understand it
Sorry I meant how the question is worded.
In that case I don't know how to answer the question.
Perhaps somebody else can shed some light on it.
This is not how the problem is worded. This is the problem. Three different people are to be selected at random, and each will be given one gift card. There is one card from Home Depot, one from Best Buy, and one from Red Lobster. The first person selected gets to choose one of the cards. The second person selected gets to choose between the two remaining cards. The third person selected gets the third card.
A) Determine the number of points in the sample space.
B) Construct a tree diagram and determine the sample space.
Determine the probability that
C) The Best Buy card is selected first
D) The Home Depot card is selected first and the Red Lobster card is selected last.
E) The cards are selected in this order: Best Buy, Red Lobster, Home Depot.
a) To determine the number of points in the sample space, we need to consider the number of possible outcomes at each step.
- The first person selected can be any of the three, so we have 3 options.
- After the first person selects a card, there are two remaining cards that the second person can choose from.
- Finally, the third person receives the remaining card.
Therefore, the total number of points in the sample space is 3 * 2 * 1 = 6.
b) To construct a tree diagram for this problem, we can start by listing the three possible outcomes for the first person's selection: Home Depot, Best Buy, and Red Lobster. From each of these branches, we then consider the two remaining cards for the second person, and so on. The resulting tree diagram will have six branches, corresponding to the six possible outcomes.
The tree diagram would look like this:
Select 1st Person
/ | \
HD BB RL
/ \ / \ / \
BB RL BB RL HD HD
| | | | |
RL BB RL HD RL BB
c) Now let's calculate the probability of each specific event:
a) The probability that the Best Buy card is selected first is 2/6, as there are 2 out of the 6 possible outcomes where Best Buy is selected first.
b) The probability that the Home Depot card is selected first and the Red Lobster card is selected last is 1/6, as there is only 1 outcome where this occurs.
c) The probability that the cards are selected in the order Best Buy, Red Lobster, Home Depot is 1/6, as there is only 1 outcome where this specific order occurs.
By determining the sample space and constructing the tree diagram, we can easily calculate the probabilities for each event.