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Exercises for Question Type 3: Using simple events to calculate probabilities - IB | RevisionDojo

IB
Question Type 3: Using simple events to calculate probabilities

Question Type 3: Using simple events to calculate probabilities Exercises

Question 1

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?

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Question 2

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

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Question 3

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

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Question 4

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

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Question 5

Probability and Statistics: Binomial Distribution

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

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Question 6

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

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Question 7

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?

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Question 8

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

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Question 9

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

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Question 10

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)?

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Question 11

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

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Question 12

Binomial distribution probability for a finite number of trials.

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

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