A coin istossed three times. Let the events `A ,B`and `C`be defined asfollows:`A=`first toss ishead, `B=`second tossis head, and `C=`exactly twoheads are tossed in a row. Check the independence of`A&B``B&C``C&A`

A coin istossed three times. Let the events `A ,B`and `C`be defined as

1.	A coin istossed three times. Let the events `A ,B`and `C`be defined asfollows:`A=`first toss ishead, `B=`second tossis head, and `C=`exactly twoheads are tossed in a row. Check the independence of`A&B``B&C``C&A`
Answer» Here, `A = {(HHH),(HHT),(HTH),(HT T)}` `B = {(HHH),(HHT),(THH),(THT)}` `C = {(HHT),(THH)}` We can clearly see that `A` and `B` are completely independent. Also, `B` and `C` are independent as in `C` head, is at the second toss. So, it will not have any impact on `B`. Now, there are elements in `A` where, two consecutive head are not present. It means, `A` and `C` are dependent events.

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A coin istossed three times. Let the events `A ,B`and `C`be defined asfollows:`A=`first toss ishead, `B=`second tossis head, and `C=`exactly twoheads are tossed in a row. Check the independence of`A&B``B&C``C&A`

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