Question

Football teams toss a coin to see who will get their choice of kicking or receiving to begin a game. Unfortunately, the coin is not fair, and has a probability of .7 of showing up heads. If a team always guesses tails, what is the probability that they will lose the coin toss 3 games in a row?a. .027b. .125c. .343d. .657

Answer 1

Answer:

Correct option is (c). 0.343

Step-by-step explanation:

The coin used to decide which team will receive the choice of kicking or receiving is biased.

The probability of Heads for this biased coin is, P (H) = 0.70.

Then the probability of Tails is, P (T) = 1 - 0.70 = 0.30.

A team always guesses Tails.

Compute the probability that they will lose the coin toss 3 games in a row, i.e. the toss result was Heads for 3 tosses, as follows:

P (A team losses the toss 3 times in a row) = [P (H)]³

                                                                       $=(0.70)^{3}\\=0.343$

Thus, the probability that the team will lose the coin toss 3 games in a row is 0.343.

The correct option is (c).