Each spinner is divided into four equal sectors (1-4). The pointer in each spinner, when spun, is equally likely to rest in any one of the four sectors. The pointer in each spinner is spun once. What is the probability that the sum of both scores is less than five
I think that its 2 out of 10
Jsksisbd6
To find the probability that the sum of both scores is less than five, we need to consider all possible outcomes and determine the favorable outcomes.
Let's analyze the possible outcomes of spinning each spinner and their corresponding sums:
Spinner 1 Outcomes: 1, 2, 3, 4
Spinner 2 Outcomes: 1, 2, 3, 4
Now, let's list all the possible combinations of outcomes and calculate the sum for each:
(1, 1) -> sum = 2
(1, 2) -> sum = 3
(1, 3) -> sum = 4
(1, 4) -> sum = 5
(2, 1) -> sum = 3
(2, 2) -> sum = 4
(2, 3) -> sum = 5
(2, 4) -> sum = 6
(3, 1) -> sum = 4
(3, 2) -> sum = 5
(3, 3) -> sum = 6
(3, 4) -> sum = 7
(4, 1) -> sum = 5
(4, 2) -> sum = 6
(4, 3) -> sum = 7
(4, 4) -> sum = 8
Out of these 16 outcomes, we can see that there are 3 favorable outcomes where the sum is less than five: (1, 1), (1, 2), and (2, 1).
Therefore, the probability of getting a sum less than five is 3 favorable outcomes out of 16 possible outcomes:
Probability = 3/16 ≈ 0.1875
So, the probability that the sum of both scores is less than five is approximately 0.1875.
To find the probability that the sum of both scores is less than five, we need to consider all the possible outcomes.
Let's first list all the possible outcomes for the first spinner. Since it has four equally likely sectors, the outcomes are:
1, 2, 3, 4
Next, let's list all the possible outcomes for the second spinner. Again, since it has four equally likely sectors, the outcomes are also:
1, 2, 3, 4
To find the probability that the sum of both scores is less than five, we need to find the favorable outcomes (where the sum is less than five) and divide it by the total number of possible outcomes.
The favorable outcomes in this case are:
(1,1),
(1,2),
(2,1),
(1,3),
(3,1),
(2,2),
(1,4),
(4,1),
(2,3),
(3,2),
(3,3),
(4,2),
(2,4),
(4,3),
(3,4),
(4,4)
There are 16 favorable outcomes, as we have listed above.
The total number of possible outcomes is found by considering that each spinner has four sectors, so there are 4 * 4 = 16 possible outcomes.
Therefore, the probability that the sum of both scores is less than five is:
P(sum < 5) = favorable outcomes / total outcomes
= 16 / 16
= 1
So, the probability that the sum of both scores is less than five is 1, or 100%.