Question

read the story.
emily is playing a ring toss game at granburys spring carnival. she has a 50% chance of landing the ring on a peg. emily pays for 5 tosses and needs to land the ring at least 4 times to win the grand prize. how likely is it that emily will win the grand prize?
emily simulates the situation by rolling a six - sided die 5 times. each time a 4, 5, or 6 appears, it represents landing a ring.
this table shows the results of 200 trials:
based on emilys results, what is the probability that she will win the grand prize?
%

Explanation:

Step1: Find the number of favorable trials

Emily needs to land the ring at least 4 times. So we consider the number of trials where 4, 5, or 6 appears 4 times and 5 times.
The number of trials with 4 appearances is 32 and with 5 appearances is 6.
The total number of favorable trials \(n = 32+6=38\)

Step2: Calculate the probability

The total number of trials \(N = 200\)
The probability \(P=\frac{n}{N}\)
Substitute \(n = 38\) and \(N = 200\) into the formula: \(P=\frac{38}{200}\)
Simplify \(\frac{38}{200}=\frac{19}{100}=0.19 = 19\%\)

Answer:

\(19\%\)