Question

We perform the experiment "Toss Three Coins". Then the events "No heads appear" and "Exactly 1 Head appears" are equally likely. Responses true true false

Answer 1

False the answer is false.. false

Answer 2

Answer: False

Step-by-step explanation

There are n = 3 coins and 2^n = 2^3 = 8 different outcomes of heads (H) or tails (T)

Here is the sample space. This is the list of all possible outcomes.

1. HHH
2. HHT
3. HTH
4. THH
5. HTT
6. THT
7. TTH
8. TTT

The binary number system can be helpful to generate that list above.

The event "no heads appear" is the same as the event "3 tails". That has probability of 1/8 since there is one TTT out of 8 items total.

The event "exactly 1 head appears" has probability 3/8 since we have the items HHT and HTH and THH.

The probabilities 1/8 and 3/8 do not match up. The events "No heads appear" and "Exactly 1 Head appears" are not equally likely. The original claim is false