Answer:
Part a: The probability of breaking even in 6 tosses is 0.3125.
Part b: The probability that one payer wins all the money after the 10th toss is 0.0264.
Explanation:
Part a
P(success)=1/2=0.5
P(Failure)=1/2=0.5
Now for the break-even at the sixth toss
P(Break Even)=P(3 success out of 6)
P(3 success out of 6)
So the probability of breaking even in 6 tosses is 0.3125.
Part b:
So the probability that one of the player wins all the money after the 10th toss is given as the tenth toss is given as a win so
Wins in 9 tosses is given as 9!/7!=72
The probability that the other person wins
Wins in 8 out of 10 tosses is given as 10!/8!(10-8)!=10!/8!2!=45
So the probability of all the money is won by one of the gambler after the 10th toss is given as
P=number of wins in 9 tosses-Number of wins in 10 tosses/total number of tosses
P=(72-45)/2^16
P=0.0264
So the probability that one payer wins all the money after the 10th toss is 0.0264.
Answer:
$12.53
Explanation:
Data provided in the question
Par value = $1,000
Coupon rate = 2.5%
Reference CPI = 204.89
Now CPI = 205.44
By considering the above information, the correct calculation of the current interest payment is
= Par value × Current CPI ÷ Reference CPI × Coupon rate ÷ 2
= $1,000 × 205.44 ÷ 204.89 × 2.5% ÷ 2
= $12.53
We assume the interest is on semi annual payments
Answer:
Accounting rate of return = 20.53%
Explanation:
<em>The accounting rate of return is the average annual income expressed as a percentage of the average investment.</em>
The simple rate of return can be calculated using the two formula below:
Accounting rate of return
= Annual operating income/Average investment
× 100
Average investment = (Initial cost + scrap value)/2
= 30,000/2= 15,000
Accounting rate of return = ( 3080/15,000) × 100
= 20.53%
Accounting rate of return = 20.53%
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