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mash [69]
3 years ago
8

A fair coin is tossed twice in succession. The set of equally likely outcomes is {HH, HT, TH, TT}. What is the probability of ge

tting exactly two tails?
Mathematics
2 answers:
djverab [1.8K]3 years ago
5 0
The probability is 1/4
This is because:
Probability of first tails = 1/2
Probability of second tails = 1/2
Probability of first AND second tails = 1/2 * 1/2
= 1/4
This is also visible in the set of outcomes
Brums [2.3K]3 years ago
4 0

Answer: 0.25

Step-by-step explanation:

Given : A fair coin is tossed twice in succession.

The set of equally likely outcomes is {HH, HT, TH, TT}.

i.e. The total number of outcomes = 4

In order to get exactly two tails , the total number of favorable outcomes = 1  (TT)

We know that , \text{Probability }=\dfrac{\text{Favorable outcomes}}{\text{Total number of outcomes}}

Then, the probability of getting exactly two tails = \dfrac{1}{4}=0.25

Hence, the required probability = 0.25

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Three people pull simultaneously on a stubborn donkey. Jack pulls directly ahead of the donkey with a force of 90.5 N , Jill pul
Radda [10]

Answer:

Fn= 174.9 N : Magnitude of the net force the people exert on the donkey.

Step-by-step explanation:

We find the components of the forces in x-y-z

Force of  Jack in z   =F₁z=90.5 N in direction (+z)

Force of  Jill  in x     = F₂x= -82.3*cos45°= - 58.19 N (-x)

Force of  Jill  in y     =F₂y=-82.3*sin45°=   + 58.19 N (+y)

Force of  Jane  in x  =F₃x=125*cos45°=   + 88.4 N (+x)

Force of  Jane  in y   =F₃y=125*sin45°=   + 88.4  N (+y)

Calculating of the components of the net force the people exert on the donkey.

Fnx= F₂x+F₃x=( - 58.19+ 88.4 )N=30.2N (+x)

Fny= F₂y+F₃y=( 58.19+88.4 ) = 146.59 N (+y)

Fnz =F₁z=90.5 N  (+z)

Calculating of the magnitude of the net force the people exert on the donkey.

F_{n} =\sqrt{(F_{nx})^{2}+(F_{ny}) ^{2} +(F_{nz}) ^{2}   }

F_{n} =\sqrt{(30.2)^{2}+( 146.59) ^{2} +(90.5) ^{2}   }

F_{n} = 174.9 N

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3 years ago
What are the answers?
madam [21]
Positive numbers is the last one
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Step-by-step explanation:

91-19=72

72/2=36

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36 =Yearbook Club Students

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Free_Kalibri [48]
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Illusion [34]

The two numbers have 1 as a common factor and nothing else. Hence 1 is the HCF. This proves that the HCF of any two consecutive numbers is always a one.

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