Question

NO LINKS OR ELSE YOU'LL BE REPORTED! Only answer if you're very good at Math.No guessing please.

The sample space,S,of a coin being tossed three times is shown below, where H and T denote the coin landing on heads and tails respectively.​

Answer 1

Answer: Bottom left corner

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Step-by-step explanation:

There are only four possible outcomes here

• A) we get all tails, ie getting 0 heads
• B) we get exactly one head (the rest tails)
• C) we get exactly 2 heads
• D) we get all three heads

Based on this so far, the answer is either the table in the bottom left corner or in the top right corner. It's not possible for X = 4 since we only flipped 3 coins.

The probability of case A happening is 1/8 since we have 1 scenario that's all tails (TTT) out of 8 items in the sample space. Similarly, the probability for case D is the same probability. We only have one HHH out of 8 total items.

The probabilities of cases B and C are the same. Both are 3/8. Note that for case B, we have HTT, THT, TTH which is three occurrences in which we get exactly 1 head. So that explains the 3/8.