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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

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

\frac{1}{4}

Solution steps

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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