Sage-Tips

What are respective chances of winning of A and B who toss a coin alternately on understanding that the first to obtain Heads wins the toss?

The first of A and B to toss the coin has a 50\% probability of winning without any more tossing. If the first between A and B does does not toss a head the other player has a 50\% chance to toss a head and win.

What is the probability that the first or the second flip is heads?

The probability of heads on the first toss is 50\%, just as it is on all subsequent tosses of the coin. The two outcomes of the toss of a coin are heads or tails. For any individual toss of the coin, the outcome will be either heads or tails.

What choices is given the winner of the toss?

Rookie. Rule 9 provides that the winner of the toss can choose to serve or to receive OR can choose which end of the court to play first OR can require the opponent to make the first choice.

How do you fake flip a coin?

Rest the coin on the back of your thumb with your index finger wrapped around it. As you toss, don’t flick your thumb but instead use your index finger to spin the coin like a frisbee. Practice this move until you’ve got it down pat. Add a little wobble and the move looks like a regular toss.

What 2 choices does the captain have after winning the toss in football?

The captain winning the toss will have a choice of options for the first half or shall defer his/her option to the second half: to choose whether his or her team will start on offense or defense. The captain, not having the first choice of options for a half, shall exercise the remaining option.

What does the winner of the coin toss get to choose between tennis?

The winner of the coin-toss can decide to serve or receive first. Alternatively he can also decide which side he wants to begin on. If he decides on the side, then the serving choice is left to the other player. If he decides to serve or receive, then the choice of the side is left to the other player!

What is the probability that the first flip is a head?

A wins if the first flip is a head and the probability that the first flip is a head is 1/2. A loses if the first flip is a tail and the second ( B ‘s turn) is a head. The probability that the first flip is a head and the second a tail is 1/4.

What happens on the first two flips?

Condition on what happens on the first two flips: A wins if the first flip is a head and the probability that the first flip is a head is 1/2. A loses if the first flip is a tail and the second ( B ‘s turn) is a head. The probability that the first flip is a head and the second a tail is 1/4.

Does it matter if a only flips the coin on odds?

It seems that if A only flips on odd tosses, this shouldn’t matter. Either A can win on his first toss, his second toss.., or his n t h toss. So the third flip of the coin is actually A ‘s second toss. So shouldn’t it be Let p be the probability that A wins.

What is the probability that a tossed a tail does not win?

If A tossed a tail (probability 1 / 2, then in effect B is now “first” so the probability she does not win is 1 − p. We conclude that p = 1 2 + 1 2 ( 1 − p). Solve for p. We get p = 2 / 3. Comment: There are nice expressions for p as infinite geometric series.