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:
ends with 5
can be multiplied by 3
can be multiplied by 6
is number 65
is not a multiple of 5
is a multiple of 4 or 3
is a multiple of 2 and 6
is number 1?
Questions & Answers
I'm interested in biological psychology and cognitive psychology
Communication is effective because it allows individuals to share ideas, thoughts, and information with others.
effective communication can lead to improved outcomes in various settings, including personal relationships, business environments, and educational settings. By communicating effectively, individuals can negotiate effectively, solve problems collaboratively, and work towards common goals.
it starts up serve and return practice/assessments.it helps find voice talking therapy also assessments through relaxed conversation.
miss
Every time someone flushes a toilet in the apartment building, the person begins to jumb back automatically after hearing the flush, before the water temperature changes. Identify the types of learning, if it is classical conditioning identify the NS, UCS, CS and CR. If it is operant conditioning, identify the type of consequence positive reinforcement, negative reinforcement or punishment
nature is an hereditary factor while nurture is an environmental factor which constitute an individual personality. so if an individual's parent has a deviant behavior and was also brought up in an deviant environment, observation of the behavior and the inborn trait we make the individual deviant.
Samuel
I am taking this course because I am hoping that I could somehow learn more about my chosen field of interest and due to the fact that being a PsyD really ignites my passion as an individual the more I hope to learn about developing and literally explore the complexity of my critical thinking skills