Correct question:
An urn holds 3 red and 7 black balls. Players A and B take turns withdrawing balls until a red one is chosen. Calculate the probability that A picks the red ball. (A goes first, followed by B, with no replacement of drawn balls).
Answer:
The likelihood that A picks the red ball is 58.33 %
Step-by-step explanation:
A will select the red ball if it is drawn 1st, 3rd, 5th, or 7th.
1st draw: 9C2
3rd draw: 7C2
5th draw: 5C2
7th draw: 3C2
Calculating for all possible scenarios gives us:
9C2 = (9!) / (7!2!) = 36
7C2 = (7!) / (5!2!) = 21
5C2 = (5!) / (3!2!) = 10
3C2 = (3!) / (2!) = 3
Adding these possibilities results in 36 + 21 + 10 + 3 = 70.
The total outcomes for selecting a red ball = 10C3
10C3 = (10!) / (7!3!)
= 120.
The probability that A selects the red ball is determined by dividing the sum of possible events by the overall outcomes.
P( A selects the red ball) = 70 / 120
= 0.5833
= 58.33 %
This scenario relates to binomial probability, where the results can either be a success or a failure. A success indicates that a selected adult possesses a bachelor's degree. Consequently, the success probability, denoted as p, is 20/100 = 0.2. The number of adults in the sample, represented as n, equals 100, and x, the count of successes, is 60. The probability of having more than 60 adults with a bachelor's degree, represented as P(x >60), can be noted internally as P(x < 60) = binomcdf (100, 0.20, 60). The function binompdf would indicate P(x = 60).
Answer:
The term 6x should actually be 6x²
Step-by-step-explanation:
The illustration referenced, which depicts the multiplication of the trinomial with the binomial, is provided in the image below.
To identify where Chin's multiplication went wrong and to establish the correct expression, we'll analyze each multiplication performed. Therefore, we have:
3x*x² = 3x³
3x*2x = 6x² (the mistake occurred here, as Chin recorded it as 6x in the chart)
3x*4 = 12x
2*x²=2x²
2*2x = 4x
2*4 = 8
Thus, the term 6x should indeed be corrected to 6x²
s(x)=1.03x−1
so be sure to place parentheses around (x-1)
This indicates that her investment is increasing by 3% each time period as defined by the bank (e.g., monthly, annually...).
Response:
The function is represented by the equation,
x = 3y.
Detailed explanation:
The direct variation function includes the points (-9, -3) and (-12, -4).
Here,
= 3
Thus, the function can be expressed as,
x = 3y.
