Perform an experiment to show that as the number of trials increases, the relative frequency approaches the probability of a coin toss. Perform 10, 20, 50, 100, 200 trials of tossing a coin.
Probability identities
The following results apply to probabilities, for the sample space
and two events
and
, within
.
What is the probability of selecting a black or red card from a pack of 52 cards
P(S)=n(E)/n(S)=52/52=1. because all cards are black or red!
What is the probability of drawing a club or an ace with one single pick from a pack of 52 cards
Notice how we have used
.
The following video provides a brief summary of some of the work covered so far.
Probability identities
Answer the following questions
Rory is target shooting. His probability of hitting the target is
. He fires five shots. What is the probability that all five shots miss the center?
An archer is shooting arrows at a bullseye. The probability that an arrow hits the bullseye is
. If she fires three arrows, what is the probability that all the arrows hit the bullseye?
A dice with the numbers 1,3,5,7,9,11 on it is rolled. Also a fair coin is tossed. What is the probability that:
A tail is tossed and a 9 rolled?
A head is tossed and a 3 rolled?
Four children take a test. The probability of each one passing is as follows. Sarah:
, Kosma:
, Heather:
, Wendy:
. What is the probability that:
all four pass?
all four fail?
With a single pick from a pack of 52 cards what is the probability that the card will be an ace or a black card?
Mutually exclusive events
Mutually exclusive events are events, which cannot be true at the same time.
Examples of mutually exclusive events are:
A die landing on an even number or landing on an odd number.
A student passing or failing an exam
A tossed coin landing on heads or landing on tails
This means that if we examine the elements of the sets that make up
and
there will be no elements in common. Therefore,
(where
refers to the empty set). Since,
, equation
[link] becomes:
for mutually exclusive events.
Mutually exclusive events
Answer the following questions
A box contains coloured blocks. The number of each colour is given in the following table.
Colour
Purple
Orange
White
Pink
Number of blocks
24
32
41
19
A block is selected randomly. What is the probability that the block will be:
purple
purple or white
pink and orange
not orange?
A small private school has a class with children of various ages. The table gies the number of pupils of each age in the class.
3 years female
3 years male
4 years female
4 years male
5 years female
5 years male
6
2
5
7
4
6
If a pupil is selceted at random what is the probability that the pupil will be:
a female
a 4 year old male
aged 3 or 4
aged 3 and 4
not 5
either 3 or female?
Fiona has 85 labeled discs, which are numbered from 1 to 85. If a disc is selected at random what is the probability that the disc number:
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