if the probability of getting math homework on any particular day is 70%, what is the probability of not getting homework for two days in a row?

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26-10-2022
Mathematics

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if the probability of getting math homework on any particular day is 70%, what is the probability of not getting homework for two days in a row?

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JamaiK336528 JamaiK336528 · Answer 1 · 2022-10-26T08:50:51+02:00

We want to know the probability of not getting homework for two days in a row. We know that the probability of getting math homework on any particular day is 70%, this means that the probability of NOT getting math homework on any particular day is 30%.

We will denote by E the event of not getting homework for two days in a row. Thus, as the probability doesn't change when the days pass, we can multiply the probabilities:

[tex]\begin{gathered} E_1=\text{"not getting math homework on a particular day"} \\ P(E)=P(E_1)\cdot P(E_1) \\ P(E)=0.3\cdot0.3=0.09 \end{gathered}[/tex]

This means that the probability of not getting homework for two days in a row is 9%.