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Answer:
The of getting an even number in first and an odd number second is
.
Step-by-step explanation:
Given,
Total number of outcomes = 36
We have to find the probability of rolling an even number first and an odd number second.
Solution,
Firstly we will find out the possible outcomes;
![(2,1),\ (2,3),\ (2,5),\ (4,1),\ (4,3),\ (4,5),\ (6,1),\ (6,3),\ (6,5),](https://tex.z-dn.net/?f=%282%2C1%29%2C%5C%20%282%2C3%29%2C%5C%20%282%2C5%29%2C%5C%20%20%284%2C1%29%2C%5C%20%284%2C3%29%2C%5C%20%284%2C5%29%2C%5C%20%286%2C1%29%2C%5C%20%286%2C3%29%2C%5C%20%286%2C5%29%2C)
So the total number of outcomes = 9
Now according to the formula of probability, which is;
![P(E)=\frac{\textrm{total number of possible outcomes}}{\textrm{total number of outcomes}}](https://tex.z-dn.net/?f=P%28E%29%3D%5Cfrac%7B%5Ctextrm%7Btotal%20number%20of%20possible%20outcomes%7D%7D%7B%5Ctextrm%7Btotal%20number%20of%20%20outcomes%7D%7D)
Now on putting the values, we get;
P(of getting an even number in first and an odd number second)=![\frac{9}{36}=\frac{1}{4}=0.25](https://tex.z-dn.net/?f=%5Cfrac%7B9%7D%7B36%7D%3D%5Cfrac%7B1%7D%7B4%7D%3D0.25)
Hence The of getting an even number in first and an odd number second is
.