203,130 views
32 votes
32 votes
If the theoretical

probability of spinning red is
4 out of 6, how many times
would you expect to land on
red if you spin the spinner
108 times?

User Dovahkiin
by
2.9k points

2 Answers

19 votes
19 votes

Answer: 72

=============================================

Step-by-step explanation:

The probability of landing on red is 4/6 which reduces to 2/3.

Multiply that fraction (either fraction would work) by the value 108 to get the answer we're after

(2/3)*108 = 72

We expect about 72 occurrences of red to show up out of the 108 spins total.

Notice how 72/108 reduces to 2/3 after dividing both parts by the GCF 36.

Side note: In reality, the actual number won't land on 72 due to the random nature of the spinner. However, it should be fairly close to it. The more trials you conduct, the closer the empirical observation should match with the theoretical guess. This is based off the law of large numbers.

User Motumbo
by
2.4k points
28 votes
28 votes

Answer: 72 times

Step-by-step explanation:

The probability of spinning red is 4/6. If you spin the spinner 108 times, you would land on it x/108.

4/6 = x/108 (use cross multiplication)

432 = 6x

x = 72

User Subodh Joshi
by
2.5k points