02.03.2022

# The tree diagram represents an experiment consisting of two trials.

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09.07.2023, solved by verified expert
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The probability defined as P(A and C) is the probability of P(A) × P(B) = (0.6 × 0.3) = 0.18

The probability of A ; P(A) from the tree diagram is 0.6

The probability of B ; P(B) from the tree diagram is 0.3

The probability, P(A and B) equals ;

P(A) × P(B) = 0.6 × 0.3 = 0.18

Therefore, probability of A and B is 0.18

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Mathematics
P Answered by Master

answer is in photo.

Green one is main answer and blue one is formula

Mathematics
P Answered by PhD
0.3

Explanation:

Highlight the path that starts with A and then leads to D

Multiply the values highlighted to get 0.5*0.6 = 0.3

Effectively we've computed the following

P(A and D) = P(A)*P(D given A)

P(A and D) = 0.5*0.6

P(A and D) = 0.3

The notation "D given A" indicates we know event A has happened. We cannot simply say P(D) because there is another event D that happens on the lower branch B; so instead we say P(D given A). You can replace the word "given" with a vertical bar to write P(D | A), though in my opinion the vertical bar could be easily mistaken for the uppercase letter i, a lowercase letter L, or the numeric digit "one". I find its easier to describe what is going on rather than use the vertical bar notation.

Mathematics
P Answered by Master

answer is in photo.

Green one is main answer and blue one is formula

Mathematics
P Answered by PhD
0.3

Explanation:

Highlight the path that starts with A and then leads to D

Multiply the values highlighted to get 0.5*0.6 = 0.3

Effectively we've computed the following

P(A and D) = P(A)*P(D given A)

P(A and D) = 0.5*0.6

P(A and D) = 0.3

The notation "D given A" indicates we know event A has happened. We cannot simply say P(D) because there is another event D that happens on the lower branch B; so instead we say P(D given A). You can replace the word "given" with a vertical bar to write P(D | A), though in my opinion the vertical bar could be easily mistaken for the uppercase letter i, a lowercase letter L, or the numeric digit "one". I find its easier to describe what is going on rather than use the vertical bar notation.

Mathematics
P Answered by PhD

P(A) = 0.5

Step-by-step explanation:

Look from the tree root (left) and find A.

When you reach the first branch that shows A, the probability is on it's left, so

P(A) = 0.5

Mathematics
P Answered by Master

The probability defined as P(A and C) is the probability of P(A) × P(B) = (0.6 × 0.3) = 0.18

The probability of A ; P(A) from the tree diagram is 0.6

The probability of B ; P(B) from the tree diagram is 0.3

The probability, P(A and B) equals ;

P(A) × P(B) = 0.6 × 0.3 = 0.18

Therefore, probability of A and B is 0.18

Mathematics
P Answered by PhD

.26

Step-by-step explanation:

P(C) = .6*.3   + .4 *.2

= .18+.08

= .26

Mathematics
P Answered by PhD

P(D) = 0.65

Step-by-step explanation:

Follow the segments that lead to D.

First, it's 0.5 to A and then 0.6 to D.

Then, it's 0.5 to B and 0.7 to D.

P(D) = 0.5 * 0.6 + 0.5 * 0.7 = 0.3 + 0.35 = 0.65

P(D) = 0.65

World Languages
P Answered by PhD

See explanation

Explanation:

1. an organizing tool used to find the sample space for compound events = Tree diagram

A tree diagram is used to show the probability space.

2. a game in which each participant has the same probability of winning = Fair game

3. an event consisting of two or more events that can happen at the same time or one after the other= Compound event

4. the set of all possible outcomes for an experiment = Sample space

A sample space consists of all the possible outcomes that can be gotten in a probability.

5. principle that states the number of outcomes for a compound event is found by multiplying the total number of outcomes for each event together = Counting Principle

Counting Principle is used to know the number of outcomes that one can get in a probability problem. This is done by multiplying the events together in order to get the outcomes.

World Languages
P Answered by PhD

See explanation

Explanation:

1. an organizing tool used to find the sample space for compound events = Tree diagram

A tree diagram is used to show the probability space.

2. a game in which each participant has the same probability of winning = Fair game

3. an event consisting of two or more events that can happen at the same time or one after the other= Compound event

4. the set of all possible outcomes for an experiment = Sample space

A sample space consists of all the possible outcomes that can be gotten in a probability.

5. principle that states the number of outcomes for a compound event is found by multiplying the total number of outcomes for each event together = Counting Principle

Counting Principle is used to know the number of outcomes that one can get in a probability problem. This is done by multiplying the events together in order to get the outcomes.

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