Question Type 3: Using simple events to calculate probabilities Exercises

A coin has probability $0.5$ of landing heads. If you expect 80 heads, how many flips should you perform?

If a fair coin is flipped 5 times, what is the probability of getting no heads?

The probability of drawing a red card from a deck is $\tfrac{26}{52}$. If you expect 78 red cards, how many draws with replacement are needed?

Given an outcome probability of $0.4$ and an expected 26 occurrences of that event, how many trials are there in total?

If a fair coin is flipped 4 times, what is the probability of not getting exactly 2 heads?

If the probability of success in each trial is $0.25$ and the expected number of successes is 15, how many trials are performed?

If a fair coin is flipped 4 times, what is the probability of getting exactly 2 heads?

If a fair coin is flipped 5 times, what is the probability of getting at most one head?

In a game, rolling a six on a fair die has probability $\tfrac{1}{6}$. If you expect 20 sixes, how many rolls are needed?

In drawing from a standard deck, the chance of an ace is $\tfrac{4}{52}$. To expect 10 aces, how many cards must be drawn (with replacement)?

If a fair coin is flipped 6 times, what is the probability of getting at least one head?

If a fair coin is flipped 7 times, what is the probability of getting exactly 3 tails?