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MATH / In the game of Twister, a spinner randomly selects either an arm or a leg, and…

Problem

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problem

In the game of Twister, a spinner randomly selects either an arm or a leg, and also selects one of four colors, one of which is red, each with equal probability, and players have to move the appropriate body part to the appropriately colored spot on the ground. There are four players. Each player spins once, and makes the move the spinner selects. What is the probability that in these four spins, there will be exactly two moves to a red spot, and the body part selected to move will be an arm exactly 33 times?
Plain-text mathematical notation (without MathML)
In the game of Twister, a spinner randomly selects either an arm or a leg, and also selects one of four colors, one of which is red, each with equal probability, and players have to move the appropriate body part to the appropriately colored spot on the ground. There are four players. Each player spins once, and makes the move the spinner selects. What is the probability that in these four spins, there will be exactly two moves to a red spot, and the body part selected to move will be an arm exactly 3 times?
Original LaTeX notation
In the game of Twister, a spinner randomly selects either an arm or a leg, and also selects one of four colors, one of which is red, each with equal probability, and players have to move the appropriate body part to the appropriately colored spot on the ground. There are four players. Each player spins once, and makes the move the spinner selects. What is the probability that in these four spins, there will be exactly two moves to a red spot, and the body part selected to move will be an arm exactly $3$ times?

level

Level 5

type

Counting & Probability

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Source and history

task_id
0a220b95-f367-518a-90ce-f32305acfb66
task_key
counting~5fand~5fprobability--test--0a220b95-f367-518a-90ce-f32305acfb66
task_revision_id
1
config / split
counting_and_probability / test

Official source

initial import