en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

Rolling a die 4 times. What is the probability of rolling a 1 twice?

Solution

Rolling a die 4 times. What is the probability of rolling a 1 twice?

Solution

\frac{25}{216}

Solution steps

Probability of 1 when a die is rolled:

\frac{1}{6}

For multiple independent trials

P (x) = n C x \cdot p^{x} \cdot (1 - p)^{n - x}

number of trials

n = 4

number of successes

x = 2

probability of success in any one trial

p = \frac{1}{6}

P (2) = 4 C 2 (\frac{1}{6})^{2} (1 - \frac{1}{6})^{4 - 2}

4 C 2 = 6

= 6 (\frac{1}{6})^{2} (\frac{5}{6})^{2}

6 (\frac{1}{6})^{2} (\frac{5}{6})^{2} = \frac{25}{216}

= \frac{25}{216}

Popular Examples

Three more than double a number is twenty-nine.the sum of an integer and ten less than five times the next consecutive integer is 67. find the integers Find the conditional probability, in a single roll of two fair 6-sided dice, that the sum is greater than 6, given that neither die is a five.Last Wednesday, students could choose ham or turkey sandwiches for lunch. The cafeteria made 100 sandwiches in all, 60% of which were turkey. How many turkey sandwiches did the cafeteria make?Hassan’s age is three times Parul’s age. Samuel’s age is one-half Parul’s age. The total of their ages is 18. How old is Parul?