00:01
Solve this question first of all for part a.
00:05
We need to find where the probability of next three equals probability of next three vehicles approaching is junction of count a and goes straight.
00:28
So here we will take l when it's turned left, r when it turns right, s or goes straight.
00:43
So here the probabilities will be as probability of getting a left turn it will be as 0 .55.
00:58
Probability of getting right turn will be as 0 .15 and probability for going straight is 0 .3.
01:07
So for solution of part a now, to find the probability among three vehicles that one go straight and other two either both are left term so the sample will be total sample space will be as straight to left then we have left straight and left then left left left straight and straight right right then right straight then right straight right and then right straight so total we have six elements here so now s l l that thing represents the car goes straight and second car, first car is going straight and the second car is turning left and the third car is turning right.
02:14
So then our probability for getting this event, s -l -n, will be equal to probability of l -s -l will be equal to probability of l -l -s all are having two left and one is straight.
02:30
So this is equal to 0 .55 multiplied by 0 .55 and further multiplied by 0 .3.
02:42
So the value will be equal to 0 .09075 for this event.
02:48
And then we can find here probability of getting straight, right and right will be equal to probability of getting right straight and right.
03:03
And that is equal to probability of getting right, right, straight.
03:07
Again, we have two right and one straight here.
03:10
So this will be calculated as 0 .15, multiplied by 0 .15, multiplied by 0 .13.
03:20
These are for right.
03:21
And last thing, we have for right curve.
03:25
So multiplication of the probabilities is 0 .00675.
03:31
So now we can find to find probability of t which we have created in the sample space that is r.
03:43
Both sample space slll 4.
03:47
Next is l s l s, then l l s r r.
03:54
After that we have r s r s r, then r r r s.
04:01
Will be computed by adding all these six events...