(a) If Tommy has missed a shot, what is the probability that he will score two shots later? (b) In the long term, what percentage of shots are successful?
Angles in Circles
Angles within a circle are feasible to create with the help of different properties of the circle such as radii, tangents, and chords. The radius is the distance from the center of the circle to the circumference of the circle. A tangent is a line made perpendicular to the radius through its endpoint placed on the circle as well as the line drawn at right angles to a tangent across the point of contact when the circle passes through the center of the circle. The chord is a line segment with its endpoints on the circle. A secant line or secant is the infinite extension of the chord.
Arcs in Circles
A circular arc is the arc of a circle formed by two distinct points. It is a section or segment of the circumference of a circle. A straight line passing through the center connecting the two distinct ends of the arc is termed a semi-circular arc.
7.7q8
![**Tommy the Dunker's Basketball Performance Analysis**
Tommy the Dunker's performance on the basketball court is influenced by his state of mind: If he scores, he is twice as likely to score on the next shot as he is to miss, whereas if he misses a shot, he is four times as likely to miss the next shot as he is to score.
**Questions for Analysis:**
(a) If Tommy has missed a shot, what is the probability that he will score two shots later?
- **[Enter your answer here]**
(b) In the long term, what percentage of shots are successful?
- **[Enter your answer here]**
**Explanation:**
This scenario presents a probability problem based on Tommy's shooting patterns. His likelihood of scoring changes based on his most recent shot's outcome, creating a state-dependent sequence.
- **Graph/Diagram Explanation:**
- There are no graphs or diagrams included in this text.
- If a diagram were present, it would likely depict Tommy's scoring probabilities using a Markov chain or similar model, with states representing whether he scored or missed, along with transition probabilities between these states.
This problem can be explored using concepts from stochastic processes or simply by calculating conditional probabilities.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8e97722f-20ca-4840-87a4-476bed825ae1%2Fcb2ab785-5cf8-4f1c-9da9-afb8f3913862%2Ftxghfor_processed.png&w=3840&q=75)
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