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شائع Word Problems >

one card is drawn from a well shuffled deck of 52 cards.what is the probability of a red 10

الحلّ

o n e c a r d i s d r a w n f ro m a w e ll s h u ff l e d d ec k o f 52 c a r d s . w ha t i s t h e p ro babi l i t y o f a re d 10

الحلّ

\frac{1}{26}

+1

عشري

0.03846 \dots

خطوات الحلّ

Find the probability of getting red:

\frac{1}{2}

Find the probability of getting 10:

\frac{1}{13}

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}{13}

\frac{1}{2} \cdot \frac{1}{13} = \frac{1}{26}

= \frac{1}{26}

أمثلة شائعة

one sixth of a number is 9 Write as a mathematical expression and solve.The product of 3 and a number subtracted from 16 is 7. Find the number.Kirk puts 6,000.00 into an account to use for school expenses. The account earns 4% interest, compounded quarterly. How much will be in the account after 4 years?six times a number decreased by 8 is less than five times the number plus 21 A principal of 4400 is invested at 8.75% interest, compounded annually. How much will the investment be worth after 14 years?