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3 years ago

What is the theoretical probability of rolling two consecutive numberswhen rolling two dice?

Mathematics

1 answer:

Art [367]3 years ago

4 0

Answer:

2.7%

Step-by-step explanation:

The probability of rolling the number once is $\frac{1}{6}$ , and the probability of it happening again is $\frac{1}{6}$ , so multiply and get $\frac{1}{36}$ , which is approximately 2.7%

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How long would it take you to double your money is the bank pays 3.6% interest, compounded

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Answer:

$t=19.25\ years$

Step-by-step explanation:

we know that

The formula to calculate continuously compounded interest is equal to

$A=P(e)^{rt}$

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest in decimal

t is Number of Time Periods

e is the mathematical constant number

we have

$t=?\ years\\P=x\\r=3.6\%=3.6/100=0.036\\A=2x$

substitute in the formula above

$2x=x(e)^{0.036t}$

solve for t

simplify

$2=(e)^{0.036t}$

Apply ln both sides

$ln(2)=ln[(e)^{0.036t}]$

Applying property of exponents

$ln(2)=[0.036t]ln(e)$

Remember that ln(e) =1

$ln(2)=[0.036t]$

$t=ln(2)/[0.036]$

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4 years ago

What is the theoretical probability of rolling two consecutive numberswhen rolling two dice?​

What is the theoretical probability of rolling two consecutive numberswhen rolling two dice?