The value of is 1°
Explanation:
The expression is
Now, we shall determine the value of .
Multiplying both sides by , we get,
Simplifying, we get,
Substituting the value of , we get,
Rounding the value of to the nearest degree, we get,
Hence, the value of is 1°
In probability and statistics, there is an equation used for repeated trials. In this equation, you find the probability of getting 'r' successful events out of 'n' trials. Moreover, you should incorporate the probability of the success per trial. For a 6-sided face, each side has a probability of success of 1/6. On the other hand, the probability of each side not appearing is 5/6, because when you add these two, it would sum up to 1 as always.
Now, the equation for repeated trials is:
Total Probability = n!/r!(n-r)! * p^(n-r) * q^r
where
n = 5 tosses
r = 1 and 2 (since you want to see the probability of a side less than 3)
p = 1/6
q = 5/6
So, you add the individual probability when r=1, and when r=2.
Total Probability = 5!/1!(5-1)! * (1/6)^(5-1) * (5/6)^1 + 5!/2!(5-2)! * (1/6)^(5-2) * (5/6)^2
Total Probability = 50/243 or 20.58%
Different ways = sequence matters
12P3 = 12!/(12-3)! = 1320
hes at -1$ and should deposit more soon. his initial deposit is a frand total of 514$ and then he withdrawls 515$ leaving all of his money withdrawn and himself $1 in debt.