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A quiz has 5 questions, each with three options, and… | StemPy Lab
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A quiz has 5 questions, each with three options, and exactly one option is right. A student guesses every answer independently. What is the probability that exactly 2 answers are right?
Mathematics
Easy
High School (11–12)
Statistics and Probability › Random Variables and Probability Distributions
AP
A-Level
IB
Created by
StemPy Lab
A quiz has
5
5
5
questions, each with three options, and exactly one option is right. A student guesses every answer independently. What is the probability that exactly
2
2
2
answers are right?
80
243
\dfrac{80}{243}
243
80
8
243
\dfrac{8}{243}
243
8
1
9
\dfrac{1}{9}
9
1
40
243
\dfrac{40}{243}
243
40
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← A ticket for a prize draw costs 12 rupees. The organiser has 10 tickets in a box. One of them wins 50 rupees, two win 20 rupees each, and the other seven win nothing. A player buys one ticket from the box at random. What is the expected net gain of the player, in rupees?
A binomial random variable has mean 8 and variance 4.8. Which pair of values of n and p fits? →
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