Question

A number cube is rolled $360$ times and the results are recorded as follows: $41$ ones, $54$ twos, $62$ threes, $75$ fours, $33$ fives, and $95$ sixes. What is the experimental probability of rolling a two or a three?

• A. $0.32$
• B. $0.18$
• C. $0.07$
• D. $0.68$

Answer 1

The correct option is A

$0.32$

Explanation for correct option:
Given that,

• Number cube is rolled $360$ times
• The results are recorded as follows: $41$ ones, $54$ twos, $62$ threes, $75$ fours, $33$ fives, and $95$ sixes

We know that the probability$=$(number of favorable outcomes)$÷$(Total number of outcomes)

Number of outcomes of twos $=54$

$\Rightarrow$ Probability of a die rolling two$=\frac{54}{360}$
Number of outcomes of threes $=62$

$\Rightarrow$ Probability of a die rolling three$=\frac{62}{360}$

Probability of a die rolling two or three$=\frac{54}{360}+\frac{62}{360}$
$$\begin{gathered} =\frac{116}{360} \\ =0.32 \end{gathered}$$

Hence, option (A) is correct.