Popular >

There are 52 cards in a deck with 13 cards of each of the four suits. Marlin draws one card, put its back and draws another one.What is the probability that she draws a hearts card and then a 6? Enter your answer as a fraction or a decimal rounded to the nearest hundredth.

Solución

Solución

\frac{1}{52}

Pasos de solución

Find the probability of she draws a hearts card:

\frac{1}{4}

Find the probability of then a 6:

\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}{4} \cdot \frac{1}{13}

\frac{1}{4} \cdot \frac{1}{13} = \frac{1}{52}

= \frac{1}{52}

Ejemplos populares

A person invests 3500 dollars in a bank. The bank pays 6.75% interest compounded quarterly. To the nearest tenth of a year, how long must the person leave the money in the bank until it reaches 8500 dollars?A bank promises to pay 3.5% pa compound interest on deposits of £7691 if saved for 4 years. How much will the savings be worth at the end of the period mentioned? Write your answer correct to 2 decimal places In 2 years, Cara wants to buy a bicycle that costs 400.00. If she opens a savings account that earns 12% interest compounded quarterly, how much will she have to deposit as principal to have enough money in 2 years to buy the bike?5 more than a number is greater than or equal to 27 NUMBER THEORY The product of 36 and the square of a number is equal to 121. What are the numbers? Write the numbers from least to greatest.