00:02
Hello students, according to the given question we have to find the probability values.
00:07
So here if current day, current day is sunny then for next day, for the next day it was given probability of rain is equal to 0 .7 and probability of sunny is equal to 0 .3 and if current day is, if current day has a rain then for next day, for next day it was given probability of rain is equal to 0 .6 and probability of sunny is equal to 0 .4.
01:02
Now for the first bit probability of rain will be equal to the value 0 .7.
01:09
In the second one probability of rain is equal to 0 .7 then probability of sunny will be equal to 1 minus 0 .7 is equal to 0 .3.
01:23
So here the state 1 is sunny and state 2 is rainy.
01:33
So then we get 0 .3 comma 0 .7.
01:39
Now for the third bit here according to, according to the materiologist probability of rain will be equal to the value 0 .7.
01:54
Here there are 4 cases, 2 cases.
01:57
For the case 1 it was rainy, it was rainy today then tomorrow will be tomorrow also it is rainy.
02:16
So probability of rain will be equal to 0 .7 into 0 .6 that is equal to 0 .42.
02:25
Now for the case 2 it was sunny, it was sunny today then tomorrow will be tomorrow it is rainy.
02:42
Then probability of rain is equal to 0 .3 into 0 .7 that is equal to 0 .21.
02:52
So therefore the probability of the rain tomorrow will be equal to the value 0 .42 plus 0 .21 that is equal to 0 .63...