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3 years ago

A single die is rolled twice. Find found the probability of rolling an odd number and a number greater than four in either order

Mathematics

2 answers:

GrogVix [38]3 years ago

7 0

Answer:

6/36 or 1/6 chance.

Step-by-step explanation:

dice roll one has the same numerator as dice roll two

As it acts the same as replaced from a marble bag.

Therefore, we show;

odd numbers on a die = 1, 3,5 = 3

= 3/6 = 1/2

and we show;

numbers higher than 4 = 5, 6 = 2

= 2/6 = 1/3

3/6 x 2/6 = 6/36 = 1/6

The reasons why its so low is that for one dice is is 1/3 chance and for the other dice it is 1/2 chance but to get them in order it reduces again by 2/3 the opposite and by 1/2 the opposite for apposing such result.

Charra [1.4K]3 years ago

5 0

Answer:

3/6 for the probability of getting and odd number and 2/6 for rolling higher than the number 4

Step-by-step explanation:

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S_A_V [24]

The interest rate is 6.992%, if a bank advertises that it compounds money quarterly and that it will take Double your money in 10 years.

Step-by-step explanation:

The given is,

Compounds money quarterly

Double your money in 10 years

Step:1

Formula to calculate future investment with compounded quarterly,

$A =P(1+\frac{r}{n} )^{nt}$ ...............................(1)

Where, A - Future amount

P - Initial investment\

r - Rate of interest

n - No. of compounding in a year

t - No. of years

Step:2

Let, P = X

A = 2X ( Double your money )

From given, n - 4 ( for compounding quarterly )

t - 10 years

From equation (1)

$2X =X(1+\frac{r}{4} )^{(4)(10)}$

$\frac{2X}{X} =(1+\frac{r}{4} )^{(4)(10)}$

$2 =(1+\frac{r}{4} )^{40}$

Take root $40^{th}$ root on both side,

$\sqrt[40]{2} = (1+\frac{r}{4} )$

$1.017479692 = (\frac{4+r}{4} )$

$(1.017479692)(4) = (r+4)$

$4.06992=(r+4)$

$r = 4.06992 -4$

$r =( 0.06992)(100)$

r = 6.992 %

Result:

The interest rate is 6.992%, if a bank advertises that it compounds money quarterly and that it will take Double your money in 10 years.

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