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شائع Word Problems >

You randomly select one card from a 52-card deck. Find the probability of selecting a two or a six.

الحلّ

Y o u r an d o m l y se l ec t o n e c a r d f ro m a 52 - c a r d d ec k . F in d t h e p ro babi l i t y o f se l ec t in g a tw o or a s i x .

الحلّ

\frac{2}{13}

+1

عشري

0.15384 \dots

خطوات الحلّ

Find the probability of selecting a 2:

\frac{1}{13}

Find the probability of a 6:

\frac{1}{13}

Since the events are disjoint, Use the formula

P (X_{1} \lor X_{2} \lor \dots \lor X_{k}) = P (X_{1}) + P (X_{2}) + \dots + P (X_{k})

= \frac{1}{13} + \frac{1}{13}

\frac{1}{13} + \frac{1}{13} = \frac{2}{13}

= \frac{2}{13}

أمثلة شائعة

The product of a number and 8 less than the number is 33 . Find the number.Twice the difference of a number and 7 is less than-26 A number decreased by 30 is the same as 14 decreased by 3 times the number. Find the number.The price of a calculator is increased by 97% and now is 606.76 . Find out the original price nine less than three times a number is forty