Multiple choice

A coin is tossed four times, If $H$ = head and $T$ = tail, what is the probability of the tosses coming up in the order $HTHH$.

  1. $3 / 16$
  2. $1 / 16$
  3. $5 / 16$
  4. $7 / 16$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Each toss has 2 outcomes. Total outcomes for 4 tosses = 2^4 = 16. The sequence HTHH is one specific outcome. Probability = 1/16.

AI explanation

Because each toss of a fair coin is an independent event, the probability of any specific sequence of four outcomes is calculated by multiplying the individual probabilities. The probability of getting exactly Heads, Tails, Heads, Heads in that order is 1/2 x 1/2 x 1/2 x 1/2. Multiplying these values gives a probability of 1/16.

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