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Populaire Word Problems >

If two dices are thrown together, what is the probability of getting an even number on one dice and an odd number on the other dice?

Solution

I f tw o d i ces a re t h ro w n t o g e t h er, w ha t i s t h e p ro babi l i t y o f g e tt in g an e v e n n u mb er o n o n e d i ce an d an o dd n u mb er o n t h e o t h er d i ce ?

Solution

\frac{1}{4}

+1

Décimale

0.25

étapes des solutions

Find the probability of getting an even number on 1 dice:

\frac{1}{2}

Find the probability of an odd number on the other dice:

\frac{1}{2}

Since the events are independent, Use the formula

P (X_{1} \land X_{2} \land \dots \land X_{k}) = P (X_{1}) \cdot P (X_{2}) \cdot \dots \cdot P (X_{k})

= \frac{1}{2} \cdot \frac{1}{2}

\frac{1}{2} \cdot \frac{1}{2} = \frac{1}{4}

= \frac{1}{4}

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