Question :
Justin, Cam, and Ben are playing a board game where exactly one player will win. Ben estimates that Justin has a 20%, percent chance of winning each game and that Cam has a 50%, percent chance of winning each game. What is the probability that Ben will win the board game?
Answer: 30%
Step-by-step explanation:
Given the following :
Justin's chance of winning each game = 20%
Cam's chance of winning each game = 50%
Therefore, probability of :
Justin winning = 20/100 = 0.2
Cam winning = 50/100 = 0.5
Overall probability = 100% = 1
Therefore,
P(Justin winning) + P(Cam winning) + P(Ben winning) = 1
0.2 + 0.5 + P(Ben winning) = 1
P(Ben winning) = 1 - 0.7
P(Ben winning) = 0.3
0.3 = 30%
option #1 is the correct answer
Answer: $122.50
<u>Step-by-step explanation:</u>
In Out
8:00 12:00 = 4 hours
12:45 17:30 =<u> 4.75 hours </u>
Total 8.75 hours
8.75 hours x $14/hr = $122.50
Note: to subtract 12:45 from 17:30, borrow 1 hour from 17 and add 60 minutes to 30:
17:30 → 16:90
- 12:45 -<u> 12:45 </u>
4: 45
4 hours 45 minutes =
= 4.75 hours
Answer:
27720
Step-by-step explanation:
Denote by
the binomial coefficient "n choose k". Given k<n,
is the number of ways of choosing k elements from a set of n elements (the order in which we choose the elements doesn't matter).
First, we can form the group of 3 students. This is done by choosing 3 students from the class of 12 students, so it can be done in
ways. We can't repeat students, then we must form the other groups from the remaining 9 students. If we next form the group of 4 students, there are
ways of choosing it. Now, there remain 5 students without a group, so they have to conform the group of 5 and this can only be done in 1 way. By the multiplication principle, the number of ways of forming the groups is
Given that Janice monthly salary is $2,396. And she has deductions of federal income tax withheld at the rate 15%, social security tax at the rate of 6.2% and medicare tax at the rate of 1.45% and health insurance premium worth 95$ per month.
Let us calculate total deductions.
Federal income tax = 15% of 2396 = 0.15*2396 =$359.4
Social security tax = 6.2% of 2396=0.062*2396 =$148.552
Medicare tax = 1.45% of 2396= 0.0145*2396=$34.742
<u>health insurance premium =$95 </u>
Total deductions = $637.694
To calculate Janice net pay we have to subtract deductions from monthly salary that is 2396-637.694 = $1758.306
Hence net pay of Janice is $1758.306 per month.