4. a game has 15 balls for each of the letters b, i, n, g, and o. the table shows the results of drawing…

4. a game has 15 balls for each of the letters b, i, n, g, and o. the table shows the results of drawing balls 1,250 times.\n| letter | frequency |\n| ---- | ---- |\n| b | 247 |\n| i | 272 |\n| n | 238 |\n| g | 241 |\n| o | 252 |\nfor which letter is the experimental probability closest to the theoretical probability? explain.
Answer
Answer:
The letter is O.
Explanation:
Step1: Calculate theoretical probability
There are 5 letters. The theoretical probability of drawing any one letter is $P=\frac{1}{5}= 0.2$.
Step2: Calculate experimental probabilities
For B: $P(B)=\frac{247}{1250}=0.1976$. For I: $P(I)=\frac{272}{1250}=0.2176$. For N: $P(N)=\frac{238}{1250}=0.1904$. For G: $P(G)=\frac{241}{1250}=0.1928$. For O: $P(O)=\frac{252}{1250}=0.2016$.
Step3: Find the closest value
The experimental - probability of O ($0.2016$) is closest to the theoretical probability of $0.2$.