At a carnival game, katya chooses a number from 1 through 6 and rolls two ordinary dice. if her number comes up on one die, she wins three tickets. if her number comes up on both dice, she wins six tickets. if she plays all morning, how many tickets would she expect to win, on average, per turn?

1 dollar

Step-by-step explanation:

Given that at a carnival game, Katya chooses a number from 1 through 6 and rolls two ordinary dice.

If her number comes up on one die, she wins three tickets. If her number comes up on both dice

She can select any number from 1 to 6.

Getting her number in one die is having p = 1/6

X - no of dice she gets that number is binomial with n =2 and p =1/6

The probability for getting one number she chose in only one die =

Probability for getting the chosen number on both dice =

Her gain is

Y             3          6               0

Prob       5/18     1/36          25/36

E(Y) = expected value to win

=

Her expected gain in one turn is exactly 1 dollar

the system of inequity is

step-by-step explanation:

from the given graph it is noticed that we have two related lines. one is solid and another is dashed.

if a line passing through two points, then the equation of line is

the solid line passing through the points (0,4) and (4,0).

the related equation of solid line is .

similarly, find the related equation of dashed line. the dashed liune passing through the points (0,0) and (3,1).

the related equation of dashed line is

from the given graph it is noticed that the point (0,1) lies on the shaded region, therefore the point (0,1) must be satisfied by the related equations.

check the related equations by the point (0,1).

this statement is true if the sign of inequality is < instead of equality. since it is an solid line therefore the sign of inequality will be . the required inequality is

similarly, check the second related equation.

it is a dashed line, so this statement is true if the sign of inequality is > . the required inequality is

to have more of what you want like money

step-by-step explanation:

save it by not spending on unnecessary stuff and have more