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 %
Let x = 6.2
Define y as half of x: y = 0.5x
Calculate y: y = 0.5 × 6.2 = 3.1
Calculate z by subtracting x and y from 14.5: z = 14.5 - 6.2 - 3.1 = 5.2
Each variable corresponds to a triangle side
Answer:
With the addition of a child, both the family's income and expenses increase. Although the initial expenses might be higher, the financial benefits will manifest over time.
In this scenario, the first step is to assign variables.
We define:
x: time measured in minutes
y: distance covered.
The equations formulated are as follows:
For Kathleen:
For Arnob:
At the moment Arnob meets Kathleen, we have:
Next, we isolate x.
We now have:
Answer:
Arnob takes a total of 75 minutes to catch up to Kathleen:
d. 75
