<span>What is the probability that a five-card poker hand contains the ace of hearts?
1/52</span>
Answer:
The probability that Joe's stock will go up and he will win in the lottery is 0.00005.
Step-by-step explanation:
Let the events be denoted as:
<em>X</em> = the stock goes up
<em>Y</em> = Joe wins the lottery
Given:
P (X) = 0.50
P (Y) = 0.0001
The events of the stock going up is not dependent on the the event of Joe winning the lottery.
So the events <em>X</em> and <em>Y</em> are independent of each other.
Independent events are those events that can occur together at the same time.
The joint probability of two independent events <em>A</em> and <em>B </em>is,

Compute the value of P (<em>X ∩ Y</em>) as follows:

Thus, the probability that Joe's stock will go up and he will win in the lottery is 0.00005.
The answer to this question would be: 300; 20; 150; 10
When you multiply 15 x 32, you can divide both numbers into this:
15= 10 + 5
32= 30 +2
Then the multiplication becomes (10+5) * (30+2) which will result in 4 partial product like this:
10*30= 300
10* 2= 20
5* 30= 150
5* 2= 10
3-5y= 2x
-5y= 2x-3
y= (-2/5)x + 3/5
y + 2 = (-2/5)(x + 3)
y + 2 = (-2/5)x - (6/5)
y + 10/5 = (-2/5)x - 6/5
y = (-2/5)x - 16/5 is the answer