Probability of Rain

Probability Level 1

The probability of rain is 1 6 \dfrac{1}{6} for any given day of the week. What is the probability that it will rain on both Monday and Tuesday?

1 36 \dfrac{1}{36} 2 3 \dfrac{2}{3} 1 12 \dfrac{1}{12} 1 3 \dfrac{1}{3} 1 6 \dfrac{1}{6}

Anuj Shikarkhane by Anuj Shikarkhane , 19, India

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3 solutions

Oliver Papillo
Dec 26, 2017

( 1 6 ) 2 = 1 36 (\frac{1}{6})^2 = \frac{1}{36}

And Just a side note, this problem belongs in Discrete Mathematics, not Number Theory.

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The desired probability is 1 6 × 1 6 = 1 36 \dfrac{1}{6} \times \dfrac{1}{6} = \boxed{\dfrac{1}{36}}

0 Helpful 0 Interesting 0 Brilliant 0 Confused
Raivat Shah
Mar 10, 2018

Since the probability of rain on any day is independent , we can use the AND rule to multiply the individual probabilities:

1 6 \frac{1}{6} * 1 6 \frac{1}{6} = 1 36 \frac{1}{36}

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