Question

1st coin 2nd coin 3rd coin outcomes
h
├── h
│ ├── h ---- (h,h,h)
│ └── t ---- x
└── t
├── h ---- (h,t,h)
└── t ---- (h,t,t)
t
├── h
│ ├── h ---- (t,h,h)
│ └── t ---- (t,h,t)
└── t
├── h ---- (t,t,h)
└── t ---- (t,t,t)
which outcome is represented by x?
○ heads on the first coin, heads on the second coin, and tails on the third coin
○ heads on the first coin, tails on the second coin, and tails on the third coin
○ heads on the first coin, heads on the second coin, and heads on the third coin
○ heads on the first coin, tails on the second coin, and heads on the third coin

Explanation:

Step1: Analyze the tree structure

The first coin is H, the second coin is H, and the third coin is T (since the first branch is H, second is H, third is T for x).

Step2: Match with options

Check each option:

• Option 1: First H, Second H, Third T. Matches the path to x.
• Option 2: Second coin T, but second coin here is H, so no.
• Option 3: Third coin H, but third is T, so no.
• Option 4: Second coin T, but second is H, so no.

Answer:

heads on the first coin, heads on the second coin, and tails on the third coin