Answer:
0.1961
Step-by-step explanation:
Since these two probabilities are independent of each other, we can simply multiply them.
The probability that a voter will support the Democratic candidate for governor is 0.53.
The probability that a voter will support the Democratic candidate for attorney general is 0.37.
This makes the probability that a voter supports both Democratic candidates 0.53(0.37) = 0.1961.
(-8, -5)
To form a rectangle, all the lines must be perpendicular and parallel. If you draw out the points on a coordinate plane then you can find the answer pretty easily.
Also, this one is easy because all the lines are vertical or horizontal, and when that is the case then you can just see which number in the set hasn't appeared twice (1 appeared twice as an <em>x</em> value, 0 appeared twice as a <em>y </em>value, but -8 has only appeared once as an <em>x</em> and -5 has only appeared once as a <em>y </em>value)
To solve this problem, let us recall that the formula for
probability is:
Probability = total number of successful events / total
events
Where in this case, an event is considered to be successful
if the sum is 3 on the pair of six sided dice.
First, let us calculate for the total number of events. There
are 6 numbers per dice, therefore the total number of combinations is:
total events = 6 * 6 = 36
Next, we calculate for the total number of combinations
that result in a sum of 3. We can identify that there are only two cases that
result in sum of 3. That is:
1st case: first dice rolls 1, second dice
rolls 2
2nd case: first dice rolls 2, second dice
rolls 1
Hence, total number of successful events = 2. Therefore the
probability is:
Probability = 2 / 36 = 1 / 18 = 0.0556 = 5.56%
Answer:
you saved $3.20
Step-by-step explanation:
16 x 20/100
16 x 0.2
= 3.20
so 16-3.20= 12.80
final price is 12.80