Answer:
The gallons of fuel car need to travel 30 km is <u>0.75</u> approximately .
Step-by-step explanation:
Given:
The car can travel 25 miles per gallon. (1 mile = 1.6 km)
Now, we need to convert 25 miles into km .
25 miles = 25 × 1.6 km
= 40 km
So, the car can travel 40 km per gallon.
Then, we find out in 1 km how many gallons are used:
Now, we find out how much gallons of fuel will the car need to travel 30 km:
Gallons of fuel the car need to travel 30 km = 
= 
.
Therefore, the gallons of fuel car need to travel 30 km is 0.75 approximately.
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: exact form: 251/56, decimal form 4.482, mixed number form 4 27/56
