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DaniilM [7]
3 years ago
6

A fair coin is tossed three times in succession. The set of equally likely outcomes is StartSet HHH comma HHT comma HTH comma TH

H comma HTT comma THT comma TTH comma TTT EndSet. Find the probability of getting exactly zero tails.
Mathematics
1 answer:
liq [111]3 years ago
5 0

The probability of getting exactly zero tails is 1/8.

Step-by-step explanation:

When a fair coin is tossed three time, the set of equally likely outcomes is:

S= {HHH,HHT, HTH, THH, HTT, THT, TTH, TTT}

n(S)=8

Let A be the event that there are exactly zero tails which means there are all heads

Then

A= {HHH}

n(A)=1

P(A)=\frac{n(A)}{n(S)}\\=\frac{1}{8}

The probability of getting exactly zero tails is 1/8.

Keywords: Probability, Equally likely events

Learn more about probability at:

  • brainly.com/question/13219835
  • brainly.com/question/1836777

#LearnwithBrainly

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Six customers enter a gift shop during a 3-hour period. On average there are 0.25 customers in the gift shop and each spends 7.5
Stolb23 [73]

Answer:

6 is most directly associated with the flow rate of customers

Step-by-step explanation:

Reason:

0.25 is the number of customers in the gift shop at a given point of time is WIP inventory

7.5 is the average time spent by customer in the shop and it is the throughput time.

Flow rate = WIP inventory/Throughput time

=0.25/7.5

= 0.0333 per minute = 2 per hour or 6 per 3 hour as given in question.

6 0
3 years ago
ILL GIVE BRAINLEST:))
valkas [14]

Answer:

2 and 3  

Step-by-step explanation:

2) If two polygons are similar, the ratio of their areas is equal to the square of the ratio of their corresponding sides. 

side ratio:  1/4-------   area ratio: 1²/4²  =  1/16   = 1:16 ratio

3)If two polygons are similar, then the ratio of their perimeters is equal to the ratios of their corresponding side lengths.

The ratio of the perimeters is the same as the scale factor.

 scale 1:4

4 0
2 years ago
In one town, the number of burglaries in a week has a poisson distribution with a mean of 1.9. find the probability that in a ra
tester [92]

Let X be the number of burglaries in a week. X follows Poisson distribution with mean of 1.9

We have to find the probability that in a randomly selected week the number of burglaries is at least three.

P(X ≥ 3 ) = P(X =3) + P(X=4) + P(X=5) + ........

= 1 - P(X < 3)

= 1 - [ P(X=2) + P(X=1) + P(X=0)]

The Poisson probability at X=k is given by

P(X=k) = \frac{e^{-mean} mean^{x}}{x!}

Using this formula probability of X=2,1,0 with mean = 1.9 is

P(X=2) = \frac{e^{-1.9} 1.9^{2}}{2!}

P(X=2) = \frac{0.1495 * 3.61}{2}

P(X=2) = 0.2698

P(X=1) = \frac{e^{-1.9} 1.9^{1}}{1!}

P(X=1) = \frac{0.1495 * 1.9}{1}

P(X=1) = 0.2841

P(X=0) = \frac{e^{-1.9} 1.9^{0}}{0!}

P(X=0) = \frac{0.1495 * 1}{1}

P(X=0) = 0.1495

The probability that at least three will become

P(X ≥ 3 ) = 1 - [ P(X=2) + P(X=1) + P(X=0)]

= 1 - [0.2698 + 0.2841 + 0.1495]

= 1 - 0.7034

P(X ≥ 3 ) = 0.2966

The probability that in a randomly selected week the number of burglaries is at least three is 0.2966

5 0
3 years ago
Solve similar triangles (basic)
fiasKO [112]

Answer:

<em>T </em><em>=</em><em> </em><em>1</em><em>6</em>

Step-by-step explanation:

As triangles are similar

AB/DE = BC/EF = AC/DF

13.5/18 = 6/4 = 12/T

3/4 = 3/4 = 12/T

3/4 = 12/T

T = 12×4/3

T = 16

4 0
2 years ago
What angles make a triangle? Like, I know 180 is one, but is that it?
VARVARA [1.3K]

Answer:

The right triangle has one 90 degree angle and two acute (< 90 degree) angles. Since the sum of the angles of a triangle is always 180 degrees... The two sides of the triangle that are by the right angle are called the legs... and the side opposite of the right angle is called the hypotenuse.

Step-by-step explanation:

7 0
3 years ago
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