If you toss a fair coin six times, what is the probability that it will come up

Question

If you toss a fair coin six times, what is the probability that it will come up HHHTTT? Show the set-up and leave the answer in fraction form. If you toss an UNFAIR coin such that POHEADS) = 0.45, what is the probability that you get your first HEADS on the 6^th toss? (Round to 3 decimal places) If the coin in question (2) comes up heads, you win $5. If it comes up tails, you lose $6. What is your expectation on a single play of this game? When tossing a fair coin, find the probability of getting more than 2 heads in 10 tosses? When tossing two dice, what is the probability of rolling a multiple of 4? Write out the table of two-dice totals in the space below part (c). Use it to answer the following questions: a) What is the probability of rolling a two-dice total of 4 or 8? b) What is the probability of rolling a two-dice total that is less than 5? c) Find the probability of rolling doubles (equal number of dots on each die)

Explanation / Answer

1. There is two possibilities for each toss and we are tossing it for 6 times

So total number of samplers would be 2^6=64

Now HHHTTT will occur only once so P(HHHTTT)=1/64

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