Answer:
6.10%
Step-by-step explanation:
For every round since we are choosing with equal probability, then the probability of choosing from either of the bags is 1/2
Here, this scenario is only possible when a particular bag has been chosen 10 times and the other bag has been chosen 6 times ( meaning a particular bag has been emptied and for a particular bag to be emptied, all of its content would have been picked)
Now on the 17th trial, an empty bag is chosen
Therefore the required probability will be;
16C0 * (1/2)^10 * (1/2)^6 * 1/2 = 0.0610 = 6.1%
Answer:
The required probability is 0.031918.
Step-by-step explanation:
Consider the provided information.
It is given that According to an article in The Wall Street Journal, this theory held for 22 out of the last 34 years.
Therefore n=34
The probability it is either up or down is 0.5.
Thus the value of p =0.5 and q = 0.5
Now calculate the probability
Let X is the number of years that theory held.
X has a binomial distribution with n=34 and p=0.5
Hence, the required probability is 0.031918.
Answer:
k = 6.5
Step-by-step explanation:
y = 2x + c is given. Thus, we know immediately that the slope of this line is m = 2. If (k, 10) is a point on this line, then the following must be true:
10 = 2(k) + c, and
-3 + 2(0) + c
or
10 = 2k + c
c = -3
Thus, 10 = 2k + -3 becomes 13 = 2k, so that k = 6.5
To get the fraction of blue squares with stripes we shall proceed as follows;
fraction of blue squares=1/2
1/3 of the blue squares have stripes, therefore we shall have:
fraction of blue square with stripes
=1/3 of 1/2
=1/3×1/2
=1/6
Hence we conclude that the fraction of blue squares with stripes was 1/6 of the total colored squares.
