Fatoumata has a bag that contains orange chews, apple chews, and watermelon chews. She performs an experiment. Fatoumata randomly removes a chew from the bag, records the result, and returns the chew to the bag. Fatoumata performs the experiment 29 times. The results are shown below:
A orange chew was selected 6 times.
A apple chew was selected 10 times.
A watermelon chew was selected 13 times.
Based on these results, express the probability that the next chew Fatoumata removes from the bag will be orange or apple as a percent to the nearest whole number.
The probability of selecting an orange chew on the next trial is 6/29, and the probability of selecting an apple chew is 10/29. So, the probability of selecting an orange or apple chew is:
6/29 + 10/29 = 16/29
Converting this fraction to a percent, we get:
(16/29) x 100% ≈ 55%
Therefore, the probability of selecting an orange or apple chew as a percent to the nearest whole number is 55%.
A spinner is divided into five colored sections that are not of equal size: red, blue, green, yellow, and purple. The spinner is spun several times, and the results are recorded below:
Color: Red
Frequency: 20
Color: Blue
Frequency: 9
Color: Green
Frequency: 11
Color: Yellow
Frequency: 7
Color: Purple
Frequency: 16
Based on these results, express the probability that the next spin will land on red or green or purple as a decimal to the nearest hundredth.
The total number of spins recorded is:
20 + 9 + 11 + 7 + 16 = 63
The probability of landing on red is:
20/63
The probability of landing on green is:
11/63
The probability of landing on purple is:
16/63
To find the probability of landing on red or green or purple, we add their probabilities:
20/63 + 11/63 + 16/63 = 47/63
Converting this fraction to a decimal to the nearest hundredth, we get:
47/63 ≈ 0.75
Therefore, the probability of landing on red or green or purple as a decimal to the nearest hundredth is 0.75.
There is a spinner with 14 equal areas, numbered 1 through 14. If the spinner is spun one time, what is the probability that the result is a multiple of 4 and a multiple of 3?
The multiples of 4 and 3 are 12. There is only 1 slice which contains 12 out of the 14 possible numbers. Therefore, the probability of the spinner landing on a number that is a multiple of both 4 and 3 is:
1/14
Therefore, the probability that the result is a multiple of 4 and a multiple of 3 after spinning the spinner one time is 1/14.
There is a spinner with 8 equal areas, numbered 1 through 8. If the spinner is spun one time, what is the probability that the result is a multiple of 2 and a multiple of 3?
The multiples of 2 and 3 are 6. There is 1 slice containing 6 in the spinner. Therefore, the probability of the spinner landing on a number that is a multiple of both 2 and 3 is:
1/8
Therefore, the probability that the result is a multiple of 2 and a multiple of 3 after spinning the spinner one time is 1/8.
A bag contains 5 red marbles, 3 blue marbles and 6 green marbles. If two marbles are drawn out of the bag, what is the exact probability that both marbles drawn will be red?
The probability of drawing a red marble on the first draw is 5/14, since there are 5 red marbles out of 14 total marbles. The probability of drawing another red marble on the second draw is 4/13, since there will be one less marble in the bag and one less red marble.
To find the probability that both marbles are red, we multiply their probabilities:
(5/14) × (4/13) = 20/182 = 10/91
Therefore, the exact probability that both marbles drawn will be red is 10/91.