en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

pair of dice is rolled. What is the probability that the sum is nine or that the first number is a two?

Solution

pair of dice is rolled. What is the probability that the sum is nine or that the first number is a two?

Solution

\frac{5}{18}

Solution steps

Find the probability of the sum is 9:

\frac{1}{9}

Find the probability of that the first number is a 2:

\frac{1}{6}

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}{9} + \frac{1}{6}

\frac{1}{9} + \frac{1}{6} = \frac{5}{18}

= \frac{5}{18}

Popular Examples

If Jim was 1 year old 17 years ago, how old will he be 19 years from now?Linda opened a savings account and deposited 7,000.00 as principal. The account earns 4% interest, compounded annually. What is the balance after 4 years?ln(ln(e^{e^9})) Enter a number.Miko bought an oven at a discount of 30%.After discount, the price is 336.What is the usual price of the oven?Kyle earned some money doing odd jobs last summer and put it in a savings account that earns 4% interest compounded annually. After 6 years, there is 1,000.00 in the account. How much did Kyle earn doing odd jobs?Round your answer to the nearest cent.