Question

jenny has a number cube that is numbered from 1 to 6. she rolls the cube 50 times. which equation can be used to predict the number of times that she will roll a number that is greater than 4?
○ p(number greater than 4) = \\(\frac{1}{6}\\) (50)
○ p(number greater than 4) = \\(\frac{2}{6}\\) (50)
○ p(number greater than 4) = \\(\frac{3}{6}\\) (50)
○ p(number greater than 4) = \\(\frac{5}{6}\\) (50)

Explanation:

Step1: Identify favorable outcomes

A number cube has numbers 1 - 6. Numbers greater than 4 are 5, 6. So there are 2 favorable outcomes.

Step2: Calculate probability

Probability $P=\frac{\text{favorable outcomes}}{\text{total outcomes}}=\frac{2}{6}$.

Step3: Predict number of times

To predict the number of times she rolls a number > 4 in 50 rolls, multiply probability by 50: $P(\text{number > 4})\times50=\frac{2}{6}(50)$.

Answer:

$\boldsymbol{\text{P(number greater than 4)}=\frac{2}{6}(50)}$ (or the option with this expression, assuming the options are labeled, e.g., if this is option C, then "C. $\text{P(number greater than 4)}=\frac{2}{6}(50)$")