We now demonstrate the above results with a tree diagram.
Suppose a jar contains 3 red and 4 white marbles. If two marbles are drawn without replacement, find the following probabilities using a tree diagram.
The probability that both marbles are white.
The probability that the first marble is red and the second white.
The probability that one marble is red and the other white.
Let
be the event that the marble drawn is red, and let
be the event that the marble drawn is white.
We draw the following tree diagram.
Although the tree diagrams give us better insight into a problem, they are not practical for problems where more than two or three things are chosen. In such cases, we use the concept of combinations that we learned in
[link] . This method is best suited for problems where the order in which the objects are chosen is not important, and the objects are chosen without replacement.
Suppose a jar contains 3 red, 2 white, and 3 blue marbles. If three marbles are drawn without replacement, find the following probabilities.
Let us suppose the marbles are labeled as
,
,
,
,
,
,
,
.
We analyze the problem in the following manner.
Since we are choosing 3 marbles from a total of 8, there are
possible combinations. Of these 56 combinations, there are
combinations consisting of 2 red and one white. Therefore,
.
Again, there are
possible combinations. Of these 56 combinations, there are
combinations consisting of one red, one white, and one blue. Therefore,
.
There are 5 non-blue marbles, therefore
.
By "at least one blue marble," we mean the following: one blue marble and two non-blue marbles, or two blue marbles and one non-blue marble, or all three blue marbles. So we have to find the sum of the probabilities of all three cases.
Five cards are drawn from a deck. Find the probability of obtaining two pairs, that is, two cards of one value, two of another value, and one other card.
Let us first do an easier problem–the probability of obtaining a pair of kings and queens.
Since there are four kings, and four queens in the deck, the probability of obtaining two kings, two queens and one other card is
To find the probability of obtaining two pairs, we have to consider all possible pairs.
Since there are altogether 13 values, that is, aces, deuces, and so on, there are
different combinations of pairs.
Bacteria doesn't produce energy they are dependent upon their substrate in case of lack of nutrients they are able to make spores which helps them to sustain in harsh environments
_Adnan
But not all bacteria make spores, l mean Eukaryotic cells have Mitochondria which acts as powerhouse for them, since bacteria don't have it, what is the substitution for it?
Assimilatory nitrate reduction is a process that occurs in some microorganisms, such as bacteria and archaea, in which nitrate (NO3-) is reduced to nitrite (NO2-), and then further reduced to ammonia (NH3).
Elkana
This process is called assimilatory nitrate reduction because the nitrogen that is produced is incorporated in the cells of microorganisms where it can be used in the synthesis of amino acids and other nitrogen products
There are nothing like emergency disease but there are some common medical emergency which can occur simultaneously like Bleeding,heart attack,Breathing difficulties,severe pain heart stock.Hope you will get my point .Have a nice day ❣️
_Adnan
define infection ,prevention and control
Innocent
I think infection prevention and control is the avoidance of all things we do that gives out break of infections and promotion of health practices that promote life