First one digit is chosen uniformly at random from f1; 2; 3; 4; 5g and is removed from the set; then a second digit is chosen uniformly at random from the remaining digits. what is the probability that an odd digit is picked the second time?

Step-by-step explanation:

Probability of choosing an odd number in the second turn is the sum of probabilities of choosing an odd number in second turn given that an odd number or an even number is picked in first turn.

Probability of getting an odd number in the first turn out of 1,2,3,4,5 is

Probability of getting an even number in the first turn out of 1,2,3,4,5 is

Probability of getting an odd number in second turn given that an odd number was picked in the first turn (remaining : 2 odd numbers out of 4) is

Probability of getting an odd number in second turn given that an even number was picked in the first turn (remaining : 3 odd numbers out of 4) is

Total probability is

whatare you sayig

step-by-step explanation:

center (1,3) with radius 6

step-by-step explanation:

we must complete the square to find the center and radius of the circle.

first make sure the x and y squared terms have 1 as their coefficients. we also make sure x and y terms together.

we now create space between the x and y terms with parenthesis.

we complete the square by taking the middle terms -2x and the -6y - divide each and square them.

we add the squares to both sides.

simplify.

and write the quadratics in factored form.

the center is (h,k) or (1,3). the radius is the square root of 36 which is 6.