Question

A bin contains red balls and purple balls. A ball is selected at random and then placed back in the bin. The results are recorded after 10 trials, 50 trials, and 200 trials. The results are recorded in the table.

Outcome| Number of trials
| 10__50___200
Red | 5___36___152
Purple | 5___14___48

Based on the table, how many times can you expect that a purple ball will be selected in 400 tries?

Answer 1

Hey there

A bin contains red balls and purple balls. A ball is selected at random and then placed back in the bin. The results are recorded after 10 trials, 50trials, and 200 trials. We know that 5+14+48=67 purple balls in 260 trials. , Purple balls appear with probability 67/260 . Now we multiply and get 258*400=103

Answer 2

In total, we have 5+14+48=67 purple balls in 10+50+200=260 trials, so based on our data, purple balls appear with probability 67/260=0.258, so we expect .258*400=103 purple balls to appear in the larger sample.