1. The table shows the results of spinning a four-colored spinner 50 times. Find the experimental probability and express it as a decimal.
P(not red) = ?
A two row by five column table is shown. The first row is titled 'Color' and contains 'red,' 'blue,' 'green,' and 'yellow' from left to right. The second row is titled 'Number-sign of times spun' and contains 20, 10, 9 and 11 from left to right.
(1 point)
0.6
0.4
0.2
0.3
The number of times not red is spun is 10+9+11=30.
The total number of spins is 50.
Experimental probability of not red = number of times not red is spun/total number of spins
Experimental probability of not red = 30/50
Expressing it as a decimal, experimental probability of not red = 0.6
Therefore, the answer is 0.6.
2. You roll a number cube 20 times. The number 4 is rolled 8 times. What is the experimental probability of rolling a 4? (1 point)
40%
25%
20%
17%
The experimental probability of rolling a 4 = number of times 4 is rolled/total number of rolls
Number of times 4 is rolled = 8
Total number of rolls = 20
Experimental probability of rolling a 4 = 8/20
Expressing it as a percentage, experimental probability of rolling a 4 = 40%
Therefore, the answer is 40%.
3. The table below shows the results of flipping two coins. How does the experimental probability of getting at least one tails compare to the theoretical probability of getting at least one tails?
A two row by five column table is shown. The first row is titled 'Outcome' and contains 'upper H upper H,' 'upper H upper T,' 'upper T upper H,' and 'upper T upper T' from left to right. The second row is titled 'Number of times tossed' and contains 28, 22, 34, and 16 from left to right.
(1 point)
The experimental probability is 3% greater than the theoretical probability.
The theoretical probability is 3% greater than the experimental probability.
The experimental probability is equal to the theoretical probability.
The experimental probability is about 1% less than the theoretical probability.
hey bot3. The table below shows the results of flipping two coins. How does the experimental probability of getting at least one tails compare to the theoretical probability of getting at least one tails?
A two row by five column table is shown. The first row is titled 'Outcome' and contains 'upper H upper H,' 'upper H upper T,' 'upper T upper H,' and 'upper T upper T' from left to right. The second row is titled 'Number of times tossed' and contains 28, 22, 34, and 16 from left to right.
(1 point)
The experimental probability is 3% greater than the theoretical probability.
The theoretical probability is 3% greater than the experimental probability.
The experimental probability is equal to the theoretical probability.
The experimental probability is about 1% less than the theoretical probability.
To find the experimental probability of getting at least one tails, we need to add the number of times the outcomes 'upper H upper T', 'upper T upper H', and 'upper T upper T' appear in the table:
Experimental probability of getting at least one tails = (22 + 34 + 16) / (28 + 22 + 34 + 16) = 72/100 = 0.72
Now, to find the theoretical probability of getting at least one tails, we can use the fact that the probability of getting no tails on two coin flips is (1/2) * (1/2) = 1/4, which means the probability of getting at least one tails is:
Theoretical probability of getting at least one tails = 1 - 1/4 = 3/4 = 0.75
Comparing these two probabilities, we can see that the experimental probability is about 1% less than the theoretical probability. Therefore, the answer is:
The experimental probability is about 1% less than the theoretical probability.
4. The probability of winning a game is 15%. If you play 20 times, how many times should you expect to win? (1 point)
5 times
3 times
6 times
15 times
To find the number of times you should expect to win, we can use the formula:
Expected value = Probability of winning x Number of times played
Probability of winning = 15% = 0.15
Number of times played = 20
Expected value = 0.15 x 20 = 3
Therefore, you should expect to win 3 times. The answer is 3 times.
5. The probability of having a winning raffle ticket is 20%. If you bought 50 tickets, how many winning tickets should you expect to have? (1 point)
3 tickets
8 tickets
10 tickets
To find the number of winning tickets you should expect to have, we can use the formula:
Expected value = Probability of having a winning ticket x Number of tickets bought
Probability of having a winning ticket = 20% = 0.2
Number of tickets bought = 50
Expected value = 0.2 x 50 = 10
Therefore, you should expect to have 10 winning tickets. The answer is 10 tickets.