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Blizzard [7]
3 years ago
6

A fair coin and a biased coin where the probability of obtaining a head is twice the probability of obtaining a tail. if both ar

e tossed simultaneously, find the probability that they are:
a) both heads
b) both tails
c) one head
d) at least one head
Mathematics
1 answer:
Art [367]3 years ago
4 0

Answer:

See below in bold.

Step-by-step explanation:

For the fair coin Prob(head) = 1/2 and Prob(Tail) = 1/2.

For the biased coin it is   Prob(head) = 2/3 and Prob(Tail) = 1/3.

a) Prob(2 heads) = 1/2 * 2/3 = 1/3.

b) Prob(2 tails) = 1/2 * 1/3 = 1/6.

c) Prob(1 head ) = Prob(H T or T H) = 1/2 * 1/3  + 1/2 * 2/3) = 1/6+1/3 = 1/2.

d) Prob (at least one head) = prob (HH or TH or HT) =  1/3 + 1/2 =<em> </em>5/6.

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The sides of an equilateral triangle are 8 units long.what is the length of the altitude of the triangle?
dedylja [7]

Answer:

Equilateral triangle implies each angle is 60 degree.

And any median is the altitude.

So, NT perpendicular LM, where T is the midpoint of [ML];

We use the Pythagorean Theorem in right triangle NTL ( NT = h; NL = a;

LT = a / 2 );

h² = a² - (a/2)² = a² - a²/4 = 4a²/4 - a²/4 = 3a²/4 ;

It follows that

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But, a = 8;

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Step-by-step explanation:


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3 years ago
3a + b/a + 4a<br> if a= 4 and b= -12
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3(4) + -12/4 + 4(4) = 16+-12/4+4*4 = 29
7 0
2 years ago
What is down payment with regard to buying a house?
Lyrx [107]
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3 years ago
The volume of a room that is 23 feet in W , 10 feet in D, and 8 feet in H is?​
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Step-by-step explanation:

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The formula for volume is:

V = W*D*H\\= 23*10*8\\=1840\ ft^3

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Keywords: Volume, Box

Learn more about volume at:

  • brainly.com/question/2115122
  • brainly.com/question/2116906

#LearnwithBrainly

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Help please!!!! Best answers!!
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