Question

It's ANZAC Day, and Tom is playing two-up, a game in which a pair of coins are flipped simultaneously from a wooden paddle or kip. The possible outcomes are two heads, two tails, or what is known as odds, whereby one coin lands heads whilst the other is tails. What are the chances of odds occurring five times in a row?

a) Various probability calculations
b) 0.0625
c) 0.03125
d) 0.015625

Answer 1

The chances of odds occurring five times in a row in the game of two-up is 0.03125 or 3.125%.

Step-by-step explanation:

In this case, the chances of odds occurring five times in a row can be calculated using probability.

The probability of getting odds (one head and one tail) when flipping two coins is 0.5.

Therefore, the probability of getting odds five times in a row can be calculated as:

(0.5) x (0.5) x (0.5) x (0.5) x (0.5) = 0.03125

So, the chances of odds occurring five times in a row is 0.03125 or 3.125%.