## Answers

It's binary tree is given as below:

The above given tree shows the Favourable Outcomes.

**Using, Conditional Probability,**

**P(A| B) = P(A andB)/ P(B) given B has already occurred.**

Given that two tails outcome in step 2 (which are ticked)

**We need to find , P(Tail in step1 | 2 tails in step 2)**

**= P( Tail in Step 1 and having 2 tails in step2)/ P( 2 tails in step 2 )**

P( Tails in step 1 and 2 tails in step 2 ) = P(TT)

= 0.5*0.5 = 0.25

**P( Tail in step 1 and 2 tails in step2 ) = 0.25**

Now, P(2 tails in step2) = P( HTT) + P(TT)

= 0.5*0.25 + 0.5*0.5

= 0.125 + 0.25

= 0.375

**P( 2 Tails in step 2 ) = 0.375**

**Thus, P(Tail in step1| 2 tails in step2) = 0.25/0.375**

**= 0.67**

**Please like the answer,Thanks!**

HTT Head НТН О. НИТ HHH Coin 0.5 TH ТТ Tail

.
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