00:01
We are told that three cooks baked a special kind of cake, and we are giving the probability of each of them baking the cake.
00:10
Again, we are also giving the probability that it will feel, given that each of the cook bakes that cake.
00:18
So our question is to find the proportion of failure that is caused by one particular cook in.
00:25
So let's first define some events.
00:28
Let f be that the cake fails to rise okay and let a be that a cook a b b b b b b b b b b b b b b b b b b b b c c is that c bakes the cake now let's define the probabilities from the question the probability that the cake will feel to rise given that cook a baked it is given as zero and the probability that the cake will fail to rise, given that baker b, bake it's 0 .03.
01:10
And the probability that the cake will feel to rise, given that cook c baked it is given by 0 .05.
01:22
So let's dive into it.
01:24
The probability is also given for cook a, probability of cook a baking the cake is 0 .5.
01:36
Probability of group b baking the cake is 0 .3 and probability of cook c baking the cake is 0 .2.
01:48
Now, our problem is to calculate the probability that the probability of cook a baking is given that the cake fill to rise so we will use the base formula which will be given by probability of the cake filling to rise given that cook a baked it times probability of cook a all over the whole thing so we'll partition each of them and add it...