Acard is chosen at random from a deck of 52 cards. it is replaced, and a second card is chosen. what is the probability that both cards chosen are jacks? a.) 1/26 b.) 1/13 c.) 1/169 d.) 2/13

C.) 1/169

Step-by-step explanation:

There are 4 jacks in a deck of 52 cards

The probability the first card is a jack

4/52 = 1/ 13

Since we replace the card

The probability the second card is a jack

4/52 = 1/ 13

To get the probability that we get a jack then a jack, we multiply the probabilities

1/13 * 1/13 = 1/169

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

they can both be solutions depends on the equation

step-by-step explanation:

what is the equation? ?