What is the statistical probability of flipping a coin and having it land on heads five consecutive times

1/2 * 1/2 * 1/2 * 1/2 * 1/2 = 1/32 chance

Assuming this is a fair coin, so P{heads will come out of a single coin flip} = 0.5
So, probability that you will get heads five consecutive times is
= P(heads on first flip) * P(heads on second flip) * ... * P(heads on fifth flip)
= 0.5 x 0.5 x 0.5 x 0.5 x 0.5
= 0.5^5

50% each time. and each consecutive time. every time you flip a coin its independent from the last time you flipped it. the fact that it landed on heads the past 4 times doesnt make it any less likely to happen again

1/32 as Dutch said (1/2)^5.

But in reality, the odds of coming up heads is not exactly 50% (But I am sure your course assumes no bias to the coin or flip :)

1/32

2^5 ---- 1 chance in 32