Answer: 0.26
Step-by-step explanation:
Binomial probability formula :-
, where P(x) is the probability of getting success in x trials , n is total number of trials and p is the probability of getting success in each trial.
Given : The probability of winning = ![\dfrac{1}{6}](https://tex.z-dn.net/?f=%5Cdfrac%7B1%7D%7B6%7D)
Let X be the random variable that represents the number of sodas.
Since he is guaranteed that he will win one soda .
If Cody buys 6 sodas, then the probability that he will win at least one more soda will be :
![P(x\geq2 )=1-(P(0)+P(1))\\\\=1-(^6C_0\ (\dfrac{1}{6})^0\ (1-\dfrac{1}{6})^{6-0}+^6C_1\ (\dfrac{1}{6})^1\ (1-\dfrac{1}{6})^{6-1})\\\\=1-((\dfrac{5}{6})^6+(\dfrac{5}{6})^5)\approx0.26](https://tex.z-dn.net/?f=P%28x%5Cgeq2%20%29%3D1-%28P%280%29%2BP%281%29%29%5C%5C%5C%5C%3D1-%28%5E6C_0%5C%20%28%5Cdfrac%7B1%7D%7B6%7D%29%5E0%5C%20%281-%5Cdfrac%7B1%7D%7B6%7D%29%5E%7B6-0%7D%2B%5E6C_1%5C%20%28%5Cdfrac%7B1%7D%7B6%7D%29%5E1%5C%20%281-%5Cdfrac%7B1%7D%7B6%7D%29%5E%7B6-1%7D%29%5C%5C%5C%5C%3D1-%28%28%5Cdfrac%7B5%7D%7B6%7D%29%5E6%2B%28%5Cdfrac%7B5%7D%7B6%7D%29%5E5%29%5Capprox0.26)
Hence, the true probability he will win at least one more soda =0.26
Answer:
53.3
Step-by-step explanation:
Add one standard deviation to the mean:
45 +1(8.3) = 53.3
Answer:
![\sin(50^\circ)=3/c](https://tex.z-dn.net/?f=%5Csin%2850%5E%5Ccirc%29%3D3%2Fc)
Step-by-step explanation:
Remember SOH/CAH/TOA. We will use SOH, which means
of the angle is equal to the opposite side over the hypotenuse.
I'm stuck on this question as well so plz ppl answer xD