Maria has an 8-sided die that is numbered from 1 to 8. She rolls the die 96 times. About how many times can she expect to roll an 8?
1/8 = x/96
8x = 96
x = 12
about 72 times
Kevin has a spinner that has 10 equal sections and 2 sections of each color—red, blue, green, yellow, and purple. Kevin spins the spinner 180 times. Kevin determines about how many times the spinner will land on red or green, and his work is shown below.
To determine how many times Maria can expect to roll an 8 when rolling the 8-sided die 96 times, we can use the concept of probability.
The probability of rolling an 8 on a fair 8-sided die is 1/8, as there is one favorable outcome (rolling an 8) out of eight possible outcomes (numbers 1 to 8).
To find the expected number of times Maria will roll an 8, we can multiply the probability of rolling an 8 by the total number of rolls.
Expected number of times rolling an 8 = Probability of rolling an 8 × Total number of rolls
Expected number of times rolling an 8 = (1/8) × 96
Expected number of times rolling an 8 ≈ 12
Therefore, Maria can expect to roll an 8 approximately 12 times when she rolls the 8-sided die 96 times.