Hiro has a stack of cards with one number from the set 1, 1, 2, 2, 3, 3, 3, 4 written on each card. what is the probability that he pulls out a 3 first and then pulls out a 2 without replacing them? 1/64 1/56 3/32 3/28

Total cards = 8

Probability of pulling number 3 card first = 3/8

Probability of pulling number 2 card second= 2/7

P(3, then 2) = (3/8)(2/7) = 3/28

3/28

 The correct option is (D)

Step-by-step explanation:  Given that Hiro has a stack of cards with one number from the set 1, 1, 2, 2, 3, 3, 3, 4 written on each card.

We are to find the probability that Hiro pulls out a 3 first and then pulls out a 2 without replacing them.

Let, 'S' be the sample space for the experiment.

Then, S = {1, 1, 2, 2, 3, 3, 3, 4}

⇒   n(S) = 8.

Let, 'E' and 'F' be the events of pulling a 3 and a 2 respectively.

Then, E = {3, 3, 3}  ⇒ n(E) = 3

and

F = {2, 2}  ⇒ n(F) = 2.

So, the probability that he pulls out a 3 is given by

and the probability that he pulls out a 2 without replacing the 3 is given by

Therefore, the probability that he pulls out a 3 first and then pulls out a 2 without replacing them is

Hence, the required probability is

Thus, (D) is the correct option.

cells do need food. in a process known as cellular respiration, cells convert biochemical energy (oxygen as food) from nutrients into adenosine triphosphate (atp), and then release waste products.

hope this .. : d

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.