Because of a manufacturing error, three cans of regular soda were accidentally filled with diet soda and placed into a 12-pack. Suppose that two cans are randomly selected from the 12-pack. (a) Determine the probability that both contain diet soda. (b) Determine the probability that both contain regular soda. Would this be unusual

1 /22

6/11

Step-by-step explanation:

Total number of soda = 12

Number of diet soda in pack = 3

Number of regular soda = 12 - 3 = 9

Suppose selection is done without replacement ;

Recall : probability = required outcome / Total possible outcomes

P(selecting diet soda on 1st pick) = number of diet soda / total Number of soda in pack = 3 / 12

Diet soda left = 3 - 1 = 2

Total sodas left in pack = 12 - 1 = 11

P(selecting diet soda on 2nd pick) = 2 /11

Probability(diet soda on both picks) =

3/12 * 2/11 = 6 / 132 = 1 / 22

B.)

P(selecting regular soda on 1st pick) = number of regular / total Number of soda in pack = 9 / 12

Diet soda left = 9 - 1 = 8

Total sodas left in pack = 12 - 1 = 11

P(selecting regular soda on 2nd pick) = 8 /11

Probability(regular soda on both picks) =

9/12 * 8/11 = 72 / 132 = 12 / 22 = 6/11

answer: the value should be used for i in the formula of calculation the monthly payment , the interest rate per period is 0.85.

step-by-step explanation:

the given rate of interest i= 85%

in calculating the monthly payment for a loan with an interest rate compounded monthly, the value of the interest rate per period we use in the formula must be in decimal form.

to convert it in decimal, we divide it by 100, we get

hence, the value should be used for i in the formula of calculation the monthly payment , the interest rate per period is 0.85.

∡ eia and ∡ kij are congruent

step-by-step explanation: