Questions: Ivan is playing a "claw" game at an arcade. In the machine, there are stuffed giraffes, elephants, pigs, and bears. Based on the machine's statistics, the probability of winning something is π/4 of the times played. If Ivan plays the game 20 times, how many times is he likely to win?

Ivan is playing a "claw" game at an arcade. In the machine, there are stuffed giraffes, elephants, pigs, and bears. Based on the machine's statistics, the probability of winning something is π/4 of the times played. If Ivan plays the game 20 times, how many times is he likely to win?
Transcript text: Ivan is playing a "claw" game at an arcade. In the machine, there are stuffed giraffes, elephants, pigs, and bears. Based on the machine's statistics, the probability of winning something is $\frac{\pi}{4}$ of the times played. If Ivan plays the game 20 times, how many times is he likely to win?
failed

Solution

failed
failed

Solution Steps

Step 1: Identify the probability of winning

The probability of winning something in one play of the game is given as \( \frac{\pi}{4} \).

Step 2: Determine the number of plays

Ivan plays the game 20 times.

Step 3: Calculate the expected number of wins

The expected number of wins is calculated by multiplying the probability of winning by the number of plays: \[ \text{Expected wins} = \left( \frac{\pi}{4} \right) \times 20 \]

Final Answer

\(\boxed{5\pi}\)

Was this solution helpful?
failed
Unhelpful
failed
Helpful

Questions asked by other users

failedAnswered
A client is to have an upper gastrointestinal (GI) series. Which nursing action would be done concerning the procedure? Answer Options (1) Monitor for a return of the gag reflex after the procedure. (2) Obtain a clear liquid diet for 2 days before the procedure. (3) Administer a laxative after the procedure because barium was administered. (4) Obtain a signed consent because an iodine-based radiopaque dye will be used.
failedAnswered
Question 7 You are performing a two-tailed test with test statistic z=-1.68, find the p-value to 4 decimal places
failedAnswered
Which is the major organic product formed by this reaction? Studying the summary chart in Lesson VI.3.5 will help to correctly determining the products. A) C) B) D) E) No net reaction or none of these is a major product
failedAnswered
Atomic mass has a decimal because it is the average of all the isotopes for a particular element. The atomic number of an element is the number of in its nucleus. A number of electrons; protons B mass; protons C mass; neutrons D protons; neutrons
failedAnswered
Water Absorption During Digestion While both the small and large intestines absorb water, they do not share the job equally. Consider the following typical measurements: Volume entering the small intestine: 9,500 mL Volume entering the large intestine: 580 mL Volume leaving the large intestine: 200 mL What percentage of the water entering the small intestine is absorbed by the small intestine? 90 96 94 92 What percentage of the water entering the small intestine is absorbed by the large intestine? 4 8 2 6 What percentage of the water entering the small intestine is not absorbed during the digestive process? 8 6 4 2 A typical volume leaving the large intestine might be 200 mL. If the volume exiting the large intestine were 408 mL, then it would most likely indicate a case of