Mathematics: 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?

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Two coins are tossed and a spinner numbered from

Ответ:

gomezjuana123

16.03.2022

Mathematics

$\frac{1}{16}$

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: $\frac{1}{2}$

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

Probability of another coin with heads up: $\frac{1}{2}$

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

Probability of spinner landing on a number less than 3: $\frac{2}{8}=\frac{1}{4}$

[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:

$\frac{1}{2}*\frac{1}{2}*\frac{1}{4}=\frac{1}{16}$

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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?

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