Answer:
There are 685464 ways of selecting the 5-card hand
Step-by-step explanation:
Since the hand has 5 cards and there should be at least 1 card for each suit, then there should be 3 suits that appear once in the hand, and one suit that apperas twice.
In order to create a possible hand, first we select the suit that will appear twice. There are 4 possibilities for this. For that suit, we select the 2 cards that appear with the respective suit. Since there are 13 cards for each suit, then we have 
possibilities. Then we pick one card of all remaining 3 suits. We have 13 ways to pick a card in each case.
This gives us a total of 4*78*13³ = 685464 possibilities to select the hand.
Answer:
5/11
Step-by-step explanation:
Probability is the chance that something will happen. Basically, it answers the question of how many times an event will occur in a given number of opportunities.
In this example, the word "GEOMETRICAL" has 11 letters and 5 of them are vowels. They are: E, O, E, I, A. The probability of picking a vowel is 5/11. We could say that there are 5 out of 11 chances of a vowel to occur whenever a piece of paper is taken out of the bag.
First, we know this diagram consists of two horizontal lines cut by a transversal line. Therefore, we know that the given angle that measures 113° and the angle we want to find are alternate interior angles. Since all alternate interior angles are equal, we know the unknown angle must also be 113°.
I hope this helps.
If we look at g (x), the line hits the y-axis at -0.5. This means your y-intercept is -0.5
Hope this helps!! :)
Answer:
click them all
Step-by-step explanation:
