use the definitions given in the text to find both the odds for and the odds against the following event.

flipping 2 fair coins and getting exactly 1 tail

the odds for getting exactly 1 tail are to
(type a whole number)

the odds against getting exactly 1 tail are to
(type a whole number)

Question

use the definitions given in the text to find both the odds for and the odds against the following event.

flipping 2 fair coins and getting exactly 1 tail

the odds for getting exactly 1 tail are   to
(type a whole number)

the odds against getting exactly 1 tail are   to
(type a whole number)

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "blank_filling_formatter", "explain_then_answer", "tutor", "mastery_adaptive_brevity" ], "needs_drawing": false, "concepts_used": [ "Odds For and Against", "Fair Coin Probability" ], "new_concepts": [], "current_concepts": [ "Odds For and Against", "Fair Coin Probability", "Theoretical Probability" ] } ## List the sample space and find the event outcomes Using the *Fair Coin Probability* knowledge point $$ \begin{aligned} S &= \{HH, HT, TH, TT\} \ n(S) &= 4 \ E &= \{HT, TH\} \ n(E) &= 2 \ n(E') &= 4 - 2 = 2 \end{aligned} $$ ## Calculate the odds for the event Using the *Odds For and Against* knowledge point $$ \begin{aligned} \text{Odds for } E &= n(E) : n(E') \ &= 2 : 2 \ &= 1 : 1 \end{aligned} $$ ## Calculate the odds against the event Using the *Odds For and Against* knowledge point $$ \begin{aligned} \text{Odds against } E &= n(E') : n(E) \ &= 2 : 2 \ &= 1 : 1 \end{aligned} $$ Use the definitions given in the text to find both the odds for and the odds against the following event. Flipping 2 fair coins and getting exactly 1 tail. The odds for getting exactly 1 tail are 1 to 1 (Type a whole number) The odds against getting exactly 1 tail are 1 to 1 (Type a whole number) { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Statistics", "Odds For and Against" ] }

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QUESTION IMAGE

Question

Explanation:

List the sample space and find the event outcomes

Calculate the odds for the event

Calculate the odds against the event

Answer: