IB Mathematics Applications & Interpretation Question Type 3: Using Simple Events to Calculate Probabilities Exercises

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

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

If a fair coin is flipped 4 times, what is the probability of 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 5 times, what is the probability of getting no heads?

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

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

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

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

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

A fair coin is flipped 6 times. Find the probability of obtaining at least one head.

A fair coin is flipped 5 times. Find the probability of getting at most one head.