In a lotto draw balls numbered 1 to 50 are mixed together a machine then randomly selects balls numbered 18,12,3,7 and 6 is the sixth number draw
A) more likely to be less than 20
B) More likely to be more than 20 or
C) just as likely to be less than 20 as it is more than 20
HELP MEEE\
To determine the probability of the sixth number in the lotto draw being less than 20 or more than 20, we need to analyze the given information.
In the lotto draw, there are a total of 50 balls numbered from 1 to 50. Out of these 50 balls, numbers 18, 12, 3, 7, and 6 have already been drawn.
To evaluate whether the sixth number is more likely to be less than 20, more likely to be more than 20, or just as likely to be less than 20 as it is more than 20, we need to consider the remaining balls.
The number of balls less than 20: There are 19 balls numbered 1 to 19.
The number of balls more than 20: There are 31 balls numbered 21 to 50.
Now, we need to compare the number of balls remaining in each category to determine the likelihood.
A) More likely to be less than 20: Since there are 19 balls less than 20 and 31 balls more than 20 remaining, it is more likely that the sixth number will be less than 20.
B) More likely to be more than 20: Since there are 19 balls less than 20 and 31 balls more than 20 remaining, it is less likely that the sixth number will be more than 20.
C) Just as likely to be less than 20 as it is more than 20: Since the number of balls less than 20 and the number of balls more than 20 remaining are not equal, it is not equally likely for the sixth number to be less than 20 as it is to be more than 20.
Therefore, the answer is A) more likely to be less than 20.
To determine the likelihood, we need to analyze the given information.
In a lotto draw where balls numbered 1 to 50 are mixed together, we know that the machine has already selected five numbers: 18, 12, 3, 7, and 6. We are asked to determine the likelihood of the sixth number being less than 20, more than 20, or equally likely to be less than 20 as it is more than 20.
To solve this, we will count the number of remaining balls that are less than 20 and the number of remaining balls that are more than 20.
1) Counting balls less than 20:
There are 19 balls numbered 1 to 19, inclusive, that are less than 20.
2) Counting balls more than 20:
There are 30 balls numbered 21 to 50, inclusive, that are more than 20.
Now, we can compare the counts:
A) If the number is more likely to be less than 20:
Since there are 19 balls less than 20 and 30 balls more than 20, it is more likely that the sixth number will be less than 20. Therefore, option A) is correct.
B) If the number is more likely to be more than 20:
Based on the analysis above, it is less likely that the sixth number will be more than 20. Therefore, option B) is not correct.
C) If the number is equally likely to be less than 20 as it is more than 20:
Since there are more balls numbered 1 to 19 (19 in total) than balls numbered 21 to 50 (30 in total), it is not equally likely for the sixth number to be less than 20 as it is more than 20. Therefore, option C) is not correct.