A cube an edge length is 18in. What is it's volume?
1 answer:
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The probability of getting heads is 3/8.
<u>Probability:</u>
Probability is a branch of mathematics that quantifies the likelihood of an event occurring or the likelihood of a statement being true. Probability is a number between 0 and 1, with 0 generally indicating impossibility and 1 indicating certainty. that an event will occur. A simple example is tossing a fair (unbiased) coin. Since the coin is fair, the two outcomes (heads and tails) are equally likely. The probability of heads is the same as the probability of tails. Since no other outcome is possible, the probability of heads or tails is 1/2 (also written as 0.5 or 50%).
Since 3 is a small number, let's list out all possible combinations.
H represents a head while T represents a tail.
3 Heads
HHH
2 Heads
HHT
HTH
THH
1 Head
HTT
THT
TTH
0 Head
TTT
The answer is
3/1+3+3+1=3/8
OR
In general, we will find that the list resembles a particular row of the pascal's triangle.
If you want to know the probability of getting r heads (or tails) from n flips, it is the sum of the rth elements in the n + 1 line. All elements of the series n+1.
/ 2ⁿ =
n this case,
N =3andR= 2
3!/ 2!×1! × 2³
= 6/ 2× 1 × 8
= 3/8
Learn more about Probability:
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For finding, the sum of last ten terms, we write the given AP in reverse order i.e, 126, 124, 122,..., 12, 10, 8
Hence,first term (a) = 126, common difference, (d) = 124 - 126
So,![S _{10} = \frac{10}{2} [ 2a + (10 - 1)d ] \:](https://tex.z-dn.net/?f=S%20_%7B10%7D%20%3D%20%5Cfrac%7B10%7D%7B2%7D%20%5B%202a%20%2B%20%2810%20-%201%29d%20%5D%20%5C%3A%20)
![= 5 [2(126) + 9( - 2) ]](https://tex.z-dn.net/?f=%20%3D%205%20%5B2%28126%29%20%2B%209%28%20-%202%29%20%5D%20)
Hence,first term (a) = 126, common difference, (d) = 124 - 126
So,