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Two coins are tossed and a spinner numbered from 1 to 8 is spun. What is the probability that both coins land heads up and the spinner lands on a number less than 3?

Respuesta :

1/16 is the answer...............

TaeKwonDoIsDead

Answer:

[tex]\frac{1}{16}[/tex]


Step-by-step explanation:

We want probability of one coin heads up AND another coin heads up AND spinner landing on number less than 3.


  • Probability of one coin with heads up: [tex]\frac{1}{2}[/tex]

(since there are 2 possibilities, heads of tails, and we want head)

  • Probability of another coin with heads up: [tex]\frac{1}{2}[/tex]

(since there are 2 possibilities, heads of tails, and we want head)

  • Probability of spinner landing on a number less than 3: [tex]\frac{2}{8}=\frac{1}{4}[/tex]

[since total number of outcomes is 8 (8 numbers) and we want less than 3 which are 2 (numbers 1 & 2)]


In probability, AND means multiplication. Since we want probability of one coin heads up AND another coin heads up AND spinner landing on number less than 3, we multiply all the 3 answers, so we have:

[tex]\frac{1}{2}*\frac{1}{2}*\frac{1}{4}=\frac{1}{16}[/tex]

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