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
Answer:
Your hands full
Step-by-step explanation:
So we know that there are 1000 mL in 1 L. We can set up an equation that allows us to solve for how many bottles are needed in order to empty the 30 L tank:
This equation then allows us to cancel out the units of mL and L, leaving us with how many bottles are needed per tank. Then we multiply straight across to give us:
The question asks us to round up to the next whole number, so
it would take 86 bottles to empty one 30 L tank.
Answer:
if it was 50% off the cost would be $145.64
Step-by-step explanation:
291.29 / 1/2= 145.64
50% = 1/2
Answer:
Translation 1 unit left
Step-by-step explanation:
we have
f(x)=x
g(x)=(x+1)
we know that
The rule of the transformation of f(x) to g(x) is equal to
f(x) ------> g(x)
(x,y) -----> (x-1,y)
That means----> The translation is 1 unit to the left