AnswersConcepts in Probability and Statistics - MA3120 A-CRExperimental vs. Theoretical Probability

Probability of Compound Events Answers

10 verified answers
4

A drawer of loose socks contains 2 red socks, 2 green socks, and 6 white socks. Which best describes how to determine the probability of pulling out a white sock, not replacing it, and pulling out another white sock?

A
The probability that the first sock is white is and that the second sock is white is , so the probability of choosing a pair of white socks is .
Option A
B
The probability that the first sock is white is and that the second sock is white is , so the probability of choosing a pair of white socks is .
Option B
C
The probability that the first sock is white is and that the second sock is white is , so the probability of choosing a pair of white socks is .
Option C
D
The probability that the first sock is white is and that the second sock is white is , so the probability of choosing a pair of white socks is .
Option D
6

The tree diagram below shows all of the outcomes for flipping 3 coins.Which outcome is represented by x?

Question illustration
A
heads on the first coin, heads on the second coin, and tails on the third coin
B
heads on the first coin, tails on the second coin, and tails on the third coin
C
heads on the first coin, heads on the second coin, and heads on the third coin
D
heads on the first coin, tails on the second coin, and heads on the third coin
7

Jason rolls a fair number cube labeled 1 through 6, and then he flips a coin. What is the probability that he rolls a 3 and flips a head?

A
StartFraction 1 over 18 EndFraction
Option A
B
StartFraction 1 over 12 EndFraction
Option B
C
StartFraction 1 over 8 EndFraction
Option C
D
StartFraction 1 over 6 EndFraction
Option D
8

The table below shows all of the possible outcomes of rolling a six-sided number cube and flipping a coin.Which outcome is represented by x?

Question illustration
A
rolling a two and the coin landing on tails
B
rolling a three and the coin landing on tails
C
rolling a two and the coin landing on heads
D
rolling a three and the coin landing on heads

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