Answer:
1 / 36
Step-by-step explanation:
A roll of 2 fair dice :
Total number of possible outcomes = n² ; n = number of faces in a dice = 6² = 36
Probability = required outcome / Total possible outcomes
Required outcome = total less than 3 = 1 (from sample space provided)
Hence,
P(total less than 3) = 1/36
This is an excellent practice on the law of inclusion/exclusion.
For example, using | | to represent cardinality (i.e. count in the set)
|A∪B∪C|=|A|+|B|+|C|-|A∩B|-|B∩C|-|C∩A|+|A∩B∩C|.
I am not allowed to provide a link, but if you could use some additional reading, google "wiki Inclusion–exclusion_principle" and the first wiki entry should explain that in more detail.
Here we have
A=the set of 15bit numbers starting with 101xxxx...
B=the set of 15bit numbers starting with xx1010xxxx...
C=the set of 15bit numbers ending with xxxxxxxxxxx1001
A∩B=101010xxxxx
B∩C=101xxxxx...xxx1001
C∩A=xx1010xx...xxx1001
A∩B∩C=101010xxxxx1001
Therefore
|A|=2^12 (there are 12 bits left)
|B|=2^11 (there are 11 bits left)
|C|=2^11 (there are 11 bits left)
|A∩B|=2^9 (9 bits left)
|B∩C|=2^8 (8 bits left)
|C∩A|=2^7 (7 bits left)
|A∩B∩C|=2^5 (5 bits left)
Applying the inclusion/exclusion principle,
|A∪B∪C|
=|A|+|B|+|C|-|A∩B|-|B∩C|-|C∩A|+|A∩B∩C|
=2^12+2^11+2^11-2^9-2^8-2^7+2^5
=7328
Answer:
equals what ie tablespoons lbs ??
Step-by-step explanation:
Answer:
100-(8 times y)
Step-by-step explanation:
The high school softball team needs to buy T-shirts for their games. The T-shirts cost $8 a piece and they only have $100 to spend.
8 a peice
This means that the money costs 8$ for each of the players. We don't know how many players there are, so we will just label the amount of players as "y"
And we will multiply 8 times y to get our answer
And then we will subtract THAT answer minus 100 to get our full answer.
Hope this helps!
Have a great day!
The answer will be 2,567.36, hoped this helped