A single die is rolled twice. Find the probability of rolling a 4 the first time and a 2 the
second time.
Find the probability of rolling a 4 the first time and a 2 the second time.
(Type an integer or a simplified fraction.)

Question

A single die is rolled twice. Find the probability of rolling a 4 the first time and a 2 the
second time.
Find the probability of rolling a 4 the first time and a 2 the second time.

(Type an integer or a simplified fraction.)

UpStudy AI · Accepted Answer

Let the first roll be $$R_1$$ and the second roll be $$R_2$$.

Since the die is fair, the probability of any specific outcome on a single roll is 
$$
\frac{1}{6}.
$$

1. The probability of rolling a 4 on the first roll ($$R_1$$) is 
   $$
   \frac{1}{6}.
   $$

2. The probability of rolling a 2 on the second roll ($$R_2$$) is 
   $$
   \frac{1}{6}.
   $$

Since the rolls are independent, the combined probability is the product of the two individual probabilities:
$$
\frac{1}{6} \times \frac{1}{6} = \frac{1}{36}.
$$

Thus, the probability of rolling a 4 first and a 2 second is $$\frac{1}{36}$$.
The probability of rolling a 4 first and a 2 second is $$\frac{1}{36}$$.

A single die is rolled twice. Find the probability of rolling a 4 the first time and a 2 the
second time.
Find the probability of rolling a 4 the first time and a 2 the second time.
(Type an integer or a simplified fraction.)

Upstudy AI Solution

Answer

Solution

The Deep Dive

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Latest Probability Questions

A single die is rolled twice. Find the probability of rolling a 4 the first time and a 2 the second time. Find the probability of rolling a 4 the first time and a 2 the second time. (Type an integer or a simplified fraction.)

Upstudy AI Solution

Answer

Solution

The Deep Dive

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Latest Probability Questions

A single die is rolled twice. Find the probability of rolling a 4 the first time and a 2 the
second time.
Find the probability of rolling a 4 the first time and a 2 the second time.
(Type an integer or a simplified fraction.)