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شائع Word Problems >

You randomly select one card from a 52-card deck. Find the probability of selecting a red ten or a red jack.

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 re d t e n or a re d ja c k .

الحلّ

\frac{1}{13}

+1

عشري

0.07692 \dots

خطوات الحلّ

Find the probability of getting red 10 :

\frac{1}{26}

Find the probability of getting red jack :

\frac{1}{26}

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}{26} + \frac{1}{26}

\frac{1}{26} + \frac{1}{26} = \frac{1}{13}

= \frac{1}{13}

أمثلة شائعة

the sum of 7 times a number and 42 is-98 three times a number equals seven seven less than a number is 13.The sum of two numbers is seventeen. The total of four times the smaller number and two times the larger number is forty-four. Find the two numbers.An initial investment of 12,000 is appreciated for 7 years in an account that earns 9% interest, compounded quarterly. Find the amount of money in the account at the end of the period.