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Q 1. Two friends argue about the calculated probability of flipping a coin to sh

ID: 3255538 • Letter: Q

Question

Q 1. Two friends argue about the calculated probability of flipping a coin to show heads three times in a row. Steve mentions that each flip is unconnected to the previous flip. This is an example of events that are what?

Independent

Variable

Replicable

Fair

2. Any outcome or collection of outcomes that are a subset of the sample space is called what?

Event,

controlled,

successes strata

3. What is the probability of getting an odd number on a fair die and a tail on a coin flip?

1/2

1/6

1/4

1/2

4. What is the probability of getting a number less than three on a fair die and tail on a coin flip?

1/2

1/6

1/4

1/2

12. What is the probability of choosing a 2 and a face card from a deck of cards?

0.00

0.077

0.25

0.3077

Explanation / Answer

Q1)

since each flip is unconnected to the previous flip implies that each flips are independent

This is an example of events that are Independent.

Q2)

In probability theory, an event is a set of outcomes of an experiment (a subset of the sample space) to which a probability is assigned.

so answer is Event

Q3)

no of odds numbers in a die = no of even numbers in a die = 3

probability of getting an odd number on a fair die = 3/6 = 1/2

probality of getting a tail on flip of a coin = 1/2

probability of getting an odd number on a fair die and a tail on a coin flip = (1/2)*(1/2) = 1/4

Q4)

no of numbers less than three on a fair die = 2

probability of getting a number less than three on a fair die = 2/6 = 1/3

probability of getting a number less than three on a fair die and tail on a coin flip = (1/3)*(1/2) = 1/6

Q12)

no of cards in a deck of cards = 52

no of 2 and a face card in a deck are 0

probability of choosing a 2 and a face card from a deck of cards =0/52 = 0.00