Answer:
The spinner has 6 equal-sized slices, so each slice has a 1/6 probability of showing up.
I guess that we want to find the expected value in one spin:
number 1: wins $1
number 2: wins $3
number 3: wins $5
number 4: wins $7
number 5: losses $8
number 6: loses $8
The expected value can be calculated as:
Ev = ∑xₙpₙ
where xₙ is the event and pₙ is the probability.
We know that the probability for all the events is 1/6, so we have:
Ev = ($1 + $3 + $5 + $7 - $8 - $8)*(1/6) = $0
So the expected value of this game is $0, wich implies that is a fair game.
The constraints for the problem is the number of tomatoes and cups of oil on hand.
There are only 45 tomatoes and 10 cups of oil on hand to make both the Tuscan sauce and Marinara sauce.
These are identified as constraints because they limit the number of Tuscan sauce and Marinara sauce that Tiffany can make.
Answer:
Q1. 13 passengers
Q2. 0.1756 (approx. 0.18)
Step-by-step explanation:
Q1. 267 seats are available on the plane
5% is expected to fail to show up
Hence, no of passengers expected not to show up = 267 * 0.05
= 13.35 (approx 13 passengers)
Q2. See working in the attachment as I had to explain it step by step.
If your asking to multiply 9x5 then the anwser is 45.
Answer:
<h2>a) 1.308*10¹² ways</h2><h2>b)
455 way</h2>
Step-by-step explanation:
If there are 15 balls labeled 1 through 15 in a standard football game, the order of arrangement of the 15 balls can be done in 15! ways.
15! = 15*14*13*12*11*10*9*8*7*6*5*4*3*2
15! = 1.308*10¹² ways
b) If 3 of the 15 balls are to be chosen if order does not matter, this can be done in 15C3 number of ways. Since we are selecting some balls out of the total number of balls, we will use the concept of combination.
Using the combination formula nCr = n!/(n-r)!r!
15C3 = 15!/(15-3)!3!
15C3 = 15!/12!3!
15C3 = 15*14*13*12!/12!*6
15C3 = 15*14*13/6
15C3 = 455 ways
