Plz solve the following with steps (people who just come by without answering the question and taking the points may end up as b
an)
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Start off by finding the slope of the line with the formula .
Substitute the values.
Subtract.
Simplify.
is the slope of the line.
Now, use the point-slope formula to create an equation, where is the slope and
is a known point on the line.
Substitute the values.
Simplify.
Move the to create the final equation in slope-intercept form.
I'm assuming a 5-card hand being dealt from a standard 52-card deck, and that there are no wild cards.
A full house is made up of a 3-of-a-kind and a 2-pair, both of different values since a 5-of-a-kind is impossible without wild cards.
Suppose we fix both card values, say aces and 2s. We get a full house if we are dealt 2 aces and 3 2s, or 3 aces and 2 2s.
The number of ways of drawing 2 aces and 3 2s is
and the number of ways of drawing 3 aces and 2 2s is the same,
so that for any two card values involved, there are 2*24 = 48 ways of getting a full house.
Now, count how many ways there are of doing this for any two choices of card value. Of 13 possible values, we are picking 2, so the total number of ways of getting a full house for any 2 values is
The total number of hands that can be drawn is
Then the probability of getting a full house is