the probability that a person in the united states has type $b^+$ blood is 10%. three unrelated people in the united states are selected at random. complete parts (a) through (d).

(a) find the probability that all three have type $b^+$ blood.

the probability that all three have type $b^+$ blood is .
(round to six decimal places as needed.)

Question

the probability that a person in the united states has type $b^+$ blood is 10%. three unrelated people in the united states are selected at random. complete parts (a) through (d).

(a) find the probability that all three have type $b^+$ blood.

the probability that all three have type $b^+$ blood is  .
(round to six decimal places as needed.)

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": [ "Independent Events Probability", "Multiplication Rule for Probability" ], "new_concepts": [], "current_concepts": [ "Independent Events Probability", "Multiplication Rule for Probability" ] } ## Identify the given probability and event conditions Using the *Independent Events Probability* knowledge point $$ \begin{aligned} &P(B^+) = 10\% = 0.1\ &\text{Number of selected people } (n) = 3\ &\text{The selections are independent because the people are unrelated.} \end{aligned} $$ ## Apply the multiplication rule for independent events Using the *Multiplication Rule for Probability* knowledge point $$ \begin{aligned} P(\text{all three have type } B^+) &= P(B^+) \times P(B^+) \times P(B^+)\ &= (0.1)^3\ &= 0.001 \end{aligned} $$ ## Format the final result to six decimal places Using the *Independent Events Probability* knowledge point $$ \begin{aligned} 0.001 = 0.001000 \end{aligned} $$ The probability that a person in the United States has type $\text{B}^+$ blood is $10\%$. Three unrelated people in the United States are selected at random. Complete parts (a) through (d). (a) Find the probability that all three have type $\text{B}^+$ blood. The probability that all three have type $\text{B}^+$ blood is 0.001000. (Round to six decimal places as needed.) { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Statistics", "Independent Events Probability" ] }

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QUESTION IMAGE

Question

Explanation:

Identify the given probability and event conditions

Apply the multiplication rule for independent events

Format the final result to six decimal places

Answer: