Two coins were tossed 10 times. The results are shown in the table below.
result tableThe first column has the word Toss in the 1st Row and the word Results in the second row. The second column has the number 1 in the 1st Row and the letters H H in the 2nd Row. The third column has the number 2 in the 1st Row and the letters T T in the 2nd Row. The fourth column has the number 3 in the 1st Row and the letters H T in the 2nd Row. The fifth column has the number 4 in the 1st Row and the letters T H in the 2nd Row. The sixth column has the number 5 in the 1st Row and the letters H T in the 2nd Row. The seventh column has the number 6 in the 1st Row and the letters H H in the 2nd Row. The eighth column has the number 7 in the 1st Row and the letters T H in the 2nd Row. The ninth column has the number 8 in the 1st Row and the letters T T in the 2nd Row. The tenth column has the number 9 in the 1st Row and the letters T H in the 2nd Row. The eleventh column has the number 10 in the 1st Row and the letters H T in the 2nd Row.
What is the experimental probability that at least one of the coins landed on heads? Express the probability as a decimal.
Two coins were tossed 10 times. The results are shown in the table below.
result tableThe first column has the word Toss in the 1st Row and the word Results in the second row. The second column has the number 1 in the 1st Row and the letters H H in the 2nd Row. The third column has the number 2 in the 1st Row and the letters T T in the 2nd Row. The fourth column has the number 3 in the 1st Row and the letters H T in the 2nd Row. The fifth column has the number 4 in the 1st Row and the letters T H in the 2nd Row. The sixth column has the number 5 in the 1st Row and the letters H T in the 2nd Row. The seventh column has the number 6 in the 1st Row and the letters H H in the 2nd Row. The eighth column has the number 7 in the 1st Row and the letters T H in the 2nd Row. The ninth column has the number 8 in the 1st Row and the letters T T in the 2nd Row. The tenth column has the number 9 in the 1st Row and the letters T H in the 2nd Row. The eleventh column has the number 10 in the 1st Row and the letters H T in the 2nd Row.
What is the experimental probability that at least one of the coins landed on heads? Express the probability as a decimal.
To find the experimental probability that at least one of the coins landed on heads, we need to find the proportion of tosses where at least one coin shows heads. Looking at the result table, we see that in all 10 tosses, there are four tosses where both coins show tails (rows 2, 8, 9, and 10). This means that in six out of the 10 tosses, at least one coin landed on heads. Therefore, the experimental probability is 6/10 or 0.6.
Answer: 0.6
To find the experimental probability that at least one of the coins landed on heads, we need to determine the number of times at least one coin showed heads and divide it by the total number of tosses.
Looking at the table, we can see that the numbers 1, 2, 3, 5, 6, 9, and 10 represent tosses where at least one coin showed heads. So, there are 7 tosses where at least one coin landed on heads.
Since there were a total of 10 tosses, we can express the experimental probability as 7/10.
As a decimal, 7/10 is equal to 0.7.
Therefore, the experimental probability that at least one of the coins landed on heads is 0.7.
To find the experimental probability that at least one of the coins landed on heads, we need to count the number of times heads appears in the results and divide it by the total number of tosses.
Looking at the table, we can see that in each column, the letters represent the results of the coin tosses. "H" stands for heads and "T" stands for tails.
Let's count the number of times heads appears:
- Column 2: 2 heads
- Column 3: 0 heads
- Column 4: 1 head
- Column 5: 1 head
- Column 6: 2 heads
- Column 7: 2 heads
- Column 8: 1 head
- Column 9: 0 heads
- Column 10: 1 head
- Column 11: 1 head
Now we sum up the number of heads: 2 + 0 + 1 + 1 + 2 + 2 + 1 + 0 + 1 + 1 = 12
Since there were a total of 10 tosses, the experimental probability that at least one of the coins landed on heads is 12/10 = 1.2.
Therefore, the experimental probability expressed as a decimal is 1.2.