kevin has a spinner that has 10 equal sections and 2 sections of each color—red, blue, green, yellow, and…
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. about how many times should kevin land on red or purple?\nabout 18 times\nabout 36 times\nabout 40 times\nabout 72 times
Answer
Explanation:
Step1: Calculate probability of red or purple
The spinner has 10 sections. There are 2 red and 2 purple sections, so there are 2 + 2=4 sections that are red or purple. The probability of landing on red or purple is $\frac{4}{10}=\frac{2}{5}$.
Step2: Calculate expected number of times
Kevin spins the spinner 180 times. To find the expected number of times he lands on red or purple, we multiply the total number of spins by the probability. So, $180\times\frac{2}{5}=\frac{180\times2}{5}= 72$.
Answer:
about 72 times