4. Jada bought an art kit with 58 colored
2 answers:
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Answer:
The probability is 0.0052
Step-by-step explanation:
Let's call A the event that the four cards are aces, B the event that at least three are aces. So, the probability P(A/B) that all four are aces given that at least three are aces is calculated as:
P(A/B) = P(A∩B)/P(B)
The probability P(B) that at least three are aces is the sum of the following probabilities:
- The four card are aces: This is one hand from the 270,725 differents sets of four cards, so the probability is 1/270,725
- There are exactly 3 aces: we need to calculated how many hands have exactly 3 aces, so we are going to calculate de number of combinations or ways in which we can select k elements from a group of n elements. This can be calculated as:
So, the number of ways to select exactly 3 aces is:
Because we are going to select 3 aces from the 4 in the poker deck and we are going to select 1 card from the 48 that aren't aces. So the probability in this case is 192/270,725
Then, the probability P(B) that at least three are aces is:
On the other hand the probability P(A∩B) that the four cards are aces and at least three are aces is equal to the probability that the four card are aces, so:
P(A∩B) = 1/270,725
Finally, the probability P(A/B) that all four are aces given that at least three are aces is:
Answer:
Step-by-step explanation:
The given equation is expressed as
y = 1/(x - 2)
We will assume values for x and determine the corresponding values for y. Therefore,
When x = 0, y = 1/(0 - 2) = - 1/2
When x = 1, y = 1/(1 - 2) = - 1
When x = 2, y = 1/(2 - 2) = 0
When x = 3, y = 1/(3 - 2) = 1
When x = 4, y = 1/(4 - 2) = 1/2
To plot the graph, we would choose a suitable scale for the x and y axis of the graph.
Let 2 cm represent 1 unit on the vertical axis.
Let 2 cm represent 0.5 unit on the x axis.
The graph is shown in the attached photo
