How to simplify 216^5/6
1 answer:
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Answer:
a. 5/12
b. 7/18
Step-by-step explanation:
In this question, we are interested in computing the probabilities.
Firstly, we need to get the sample space of the results. This refer to all possible results that can emerge from the rolling of the two die.
This can be found in the attachment.
What is important to know however is that the total number of possible results is 36;
so let’s compute;
a. For a, let’s circle all sums which are greater than 7 ;
We can see a total of 16 circled sums;
So the probability is 15/36 = 5/12
b. Sum divisible by 4 or 6 or both
Let’s make a circle again ;
So we have a total of 14
So the probability will be 14/36 = 7/18
Answer:
15 students do not like either sport
Step-by-step explanation:
See the attached image.
Step 1: put 35 in the "like to play both" (intersection) area.
Step 2: subtract those 35 from the 65 football players. 65 - 35 = 30 players like football but not cricket. Put 35 in the football but not cricket area.
Step 3: subtract 35 from the 55 cricket players. 55 - 35 = 20 players like cricket but not football. Put 20 in the cricket but not football area.
Step 4: Add the 30 + 35 + 20 = 85 together. So 85 players are accounted for as players of one or more sports.
Step 5: 100 - 85 = 15 must be the number of students who did not like either sport. Put 15 in the area outside both circles.
