All categories

3 years ago

Three coins are tossed, what is the probability that theoutcome will be heads?

Mathematics

1 answer:

labwork [276]3 years ago

5 0

Answer:

The probability that the outcome will be heads = 1/2

Step-by-step explanation:

Sample of Total outcome: HHH THH HHT HTT THH TTH TTH TTT

Possible outcome of heads = more than one head = HHH THH HHT THH

Where H = head, T = tail.

Probability = n(possible outcome)/n(total outcome)

n(possible outcome) = 4

n( total outcome) = 8

Therefore,

Probability = 4/8.

Probability = 1/2

Thus The probability that the outcome will be heads = 1/2

You might be interested in

Joe can cut and split a cord of firewood in 3 fewer hours than Dwight can. When they work together, it takes them 2 hours. How

aalyn [17]

Answer:

Dwight will take 6 hours to finish the job alone and Joe will take 3 hours to finish the job alone.

Step-by-step explanation:

Let us assume the time taken by Dwight to split a cord of firewood = K hrs

So, the per hour rate of Dwight = $(\frac{1}{K})$

As, Joe uses 3 LESS hours then Dwight.

So, the time taken by Joe to split a cord of firewood = (K- 3) hrs

So, the per hour rate of Joe = $(\frac{1}{K-3})$

Now, when both of them wok together, it takes them 2 hours.

So, the per hour rate of BOTH of them = $(\frac{1}{2})$

⇒ Per hour rate of ( Dwight + Joe) = $(\frac{1}{2} )$

$\implies (\frac{1}{K}) + (\frac{1}{K-3}) = (\frac{1}{2})$

Now, solving for the value of K , we get:

$(\frac{1}{K}) + (\frac{1}{K-3}) = (\frac{1}{2})\\\implies \frac{(K-3) + K}{K (K-3)} = (\frac{1}{2})\\\implies 2(2K -3) = K^2 - 3K\\\implies k^2 - 3K -4K +6 = 0\\\implies K^2 - 7K + 6= 0\\\implies K^2 - 6K - K + 6= 0\\\implies K(K-6) -1(K - 6)= 0\\\implies (K-6)(K-1) = 0$

Implies either K = 6 Or K = 1

But if K = 1, (K-3) = 1- 3 = -2 hours would be A CONTRADICTION.

⇒ K = 6 hours

Hence, Dwight will take 6 hours to finish the job alone and Joe will take (k-3) = (6-3) = 3 hours to finish the job alone.

8 0

2 years ago

how many days will it take a 14 year old boy to clean up trash for 12.5 hours at a low temperature of 47 degrees and high temper

GuDViN [60]

Answer:

It will take half of a day

Step-by-step explanation:

Since 12.5 is roughly half of the day, no matter what temperature is, it will take you this amount of time. You also need to include the time that you will use to take breaks and eat meals.

6 0

3 years ago

PLZ HELP ASAP Find f(x) if it is known that f(x−3)=0.2x−0.6.

iren [92.7K]

Answer:

f(x) = 0.2x

Step-by-step explanation:

hello :

let : f(x) = ax+b calculate a and b

f(x-3) =a(x-3)+b = ax+b-3a.....(*)

given : f(x-3) = 0.2x-0.6...(**)

by (*) and(**) : a= 0.2 and b-3a = - 0.6

b-3(0.2) = - 0.6

so : b=0

conclusion : f(x) = 0.2x

4 0

3 years ago

HELP I WILL MARK BRAINLIEST

Shkiper50 [21]

Answer:

308

Step-by-step explanation:

22 x 15.4 = 338.8

338.8 / 1.1 = 308

5 0

2 years ago

If x ≠ 0 then what is x^0?

grigory [225]

Answer:

Step-by-step explanation:

Remember that anything to the 0th power is going to be 1 in terms of exponent rules!

6 0

3 years ago

Read 2 more answers