en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

Example: A card is drawn at random from a standard deck of 52 cards What is the probability of drawing an ace, a 10, or a King?"

Solution

Example: A card is drawn at random from a standard deck of 52 cards What is the probability of drawing an ace, a 10, or a King?"

Solution

\frac{3}{13}

Solution steps

Find the probability of drawing an ace:

\frac{1}{13}

Find the probability of a 10:

\frac{1}{13}

Find the probability of a king:

\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{1}{13} + \frac{1}{13} = \frac{3}{13}

= \frac{3}{13}

Popular Examples

the difference between a number and 25 The sum of the number, 8, and 7 is 28. Find the number The sum of two numbers is 60. One number is 4 times large as the other. What are the numbers?In 2 years, Vijay wants to buy a bicycle that costs 500.00. If he opens a savings account that earns 8% interest compounded monthly, how much will he have to deposit as principal to have enough money in 2 years to buy the bike?the sum of two numbers is 133. four times the smaller of the two numbers equals three times the greater number.find the numbers