he

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

פּוֹפּוּלָרִי Word Problems >

You pick a card at random, put it back, and then pick another card at random.:What is the probability of picking a 6 and then picking a 4

פתרון

Y o u p i c k a c a r d a t r an d o m, p u t i t ba c k, an d t h e n p i c k an o t h er c a r d a t r an d o m . : Wha t i s t h e p ro babi l i t y o f p i c kin g a 6 an d t h e n p i c kin g a 4

פתרון

\frac{1}{169}

+1

עשרוני

0.00591 \dots

צעדי פתרון

Find the probability of picking a 6:

\frac{1}{13}

Find the probability of then picking a 4:

\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}{13} \cdot \frac{1}{13}

\frac{1}{13} \cdot \frac{1}{13} = \frac{1}{169}

= \frac{1}{169}

דוגמאות פופולריות

Lorenzo and Anna deposit 700.00 into a savings account which earns 8% interest compounded monthly. They want to use the money in the account to go on a trip in 3 years. How much will they be able to spend?Nishi invests £4600 at 6% interest per year. Work out how much she will have altogether after 3 years Tony is going for a run. He runs at a speed of 6.4 miles per hour for 4 hours. For how many miles does he run?The radius of a circle is 12 centimeters. What is the circle's circumference?What is the result when the number 24 is decreased by 50%?