 Hello friends, let's solve the following question. Say it's filled in the blanks in the following table. We are given probability of A, probability of B, probability of A intersection B and probability of A union B. We have to fill these blanks. Now we know that probability of A union B is equal to probability of A plus probability of B minus probability of A intersection B. Let's substitute the value of probability of A which is 1 by 3 then probability of B which is 1 by 5 and minus probability of A intersection B which is 1 by 15 and taking the LCM and simplifying we get 5 plus 3 minus 1 upon 15 that is 7 upon 15. So the probability of A union B is 7 upon 15. Let's now see the second part. Again we will use this formula which says probability of A union B is equal to probability of A plus probability of B minus probability of A intersection B. So this implies probability of B we have to find the probability of B. So the probability of B is probability of A union B minus probability of A plus probability of A intersection B. Now probability of A union B is given to be 0.6 minus probability of A, probability of A is given to be 0.35 plus probability of A intersection B which is 0.25 and this is equal to 0.5. So the probability of B is 0.5. Let's now see the third part where we have to find probability of A intersection B. Again we will use this formula probability of A union B is equal to probability of A plus probability of B minus probability of A intersection B. So this implies probability of A intersection B is equal to probability of A union B minus sign plus probability of A plus probability of B. Now probability of A union B is given to be 0.7 that is minus 0.7 plus probability of A which is 0.5 plus probability of B which is 0.35 and this is equal to 0.15. So the probability of A intersection B is 0.15 and this completes the question. Do remember the formula for probability of A union B which is probability of A plus probability of B minus probability of A intersection B. So bye for now. Take care. Have a good day.