07.10.2020

Find the probability of each event listed

. 4

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Mathematics
Step-by-step answer
P Answered by Master

1 (square) is 2/9, .22 repeating, and 22 2/9%

2. (circle) is 1/3, .33 repeating, and 33 1/3%

3. (star or circle) is 7/9, .77 repeating, and 77 7/9% sorry I couldn't finish the rest of them. dad told me to get off the computer.

Mathematics
Step-by-step answer
P Answered by Master

1 (square) is 2/9, .22 repeating, and 22 2/9%

2. (circle) is 1/3, .33 repeating, and 33 1/3%

3. (star or circle) is 7/9, .77 repeating, and 77 7/9% sorry I couldn't finish the rest of them. dad told me to get off the computer.

Mathematics
Step-by-step answer
P Answered by Master

Sample space = {(T,T), (T,H), (HT), (HH)}

Step-by-step explanation:

We are given a fair coin which when tossed one times either gives heads(H) or tails(T).

Now, the same coin is tossed two times.

1) All the possible outcomes

Tails followed by tails

Rails followed by heads

Heads followed by a tail

Heads followed by heads

2) Sample space

{(T,T), (T,H), (HT), (HH)}

3) Formula:

Probability = \displaystyle\frac{\text{Favourable outcome}}{\text{Total number of outcome}}

Using the above formula, we can compute the following probabilities.

Probability((T,T)) =\frac{1}{4}

Probability((T,H)) =\frac{1}{4}

Probability((H,T)) =\frac{1}{4}

Probability((H, H)) =\frac{1}{4}

Probability(Atleast one tails) = \frac{3}{4}

Probability(Atleast one heads) = \frac{3}{4}

Probability(Exactly one tails) = \frac{2}{4}

Probability(Exactly one heads) = \frac{2}{4}

Mathematics
Step-by-step answer
P Answered by Master

Sample space = {(T,T), (T,H), (HT), (HH)}

Step-by-step explanation:

We are given a fair coin which when tossed one times either gives heads(H) or tails(T).

Now, the same coin is tossed two times.

1) All the possible outcomes

Tails followed by tails

Rails followed by heads

Heads followed by a tail

Heads followed by heads

2) Sample space

{(T,T), (T,H), (HT), (HH)}

3) Formula:

Probability = \displaystyle\frac{\text{Favourable outcome}}{\text{Total number of outcome}}

Using the above formula, we can compute the following probabilities.

Probability((T,T)) =\frac{1}{4}

Probability((T,H)) =\frac{1}{4}

Probability((H,T)) =\frac{1}{4}

Probability((H, H)) =\frac{1}{4}

Probability(Atleast one tails) = \frac{3}{4}

Probability(Atleast one heads) = \frac{3}{4}

Probability(Exactly one tails) = \frac{2}{4}

Probability(Exactly one heads) = \frac{2}{4}

Mathematics
Step-by-step answer
P Answered by PhD
Let say that you want to take 1 area. Before the event, the probability of A and B would be:
A= blue and green=  (18/12x6) + (18/12x6) = 36/72
B= green and yellow= (18/12x6) + (18/12x6) = 36/72

If the area that picked is green, then the probability of A and B become
A= blue and green= (18/12x6-1) + (17/12x6-1) = 35/71
B= green and yellow= (17/12x6-1) + (18/12x6-1) = 35/71

Both of the areas of A and B is decreased because they share the probability of green. So A and B would be a dependent event.

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