Question

You roll a six-sided number cube and flip a coin. What is the probability of rolling a number less than 2 and flipping tails? Write your answer as a fraction in simplest form.

Answer 1

Answer:

Probability of rolling a number more than one: 5/6

Probability of heads: 1/2

Probability of both: 1/2 + 5/6 = 4/3

Answer 2

Answer:

The probability of rolling a number less than 2 and flipping tails= $\frac{1}{12}$

Step-by-step explanation:

Given,

A six-sided cube is rolled and a coin is flipped together

To find,

The probability of rolling a number less than 2 and flipping tails

Recall the formula

Probability = $\frac{The \ number\ of \ favorable\ outcomes}{Total\ number \ of \ outcomes}$

Solution:

When a six-sided cube is rolled, the possible outcomes are {1,2,3,4,5,6}

When a coin is flipped, the possible outcomes are {H, T}

When six-sided cube is rolled and a coin is flipped together, the possible  outcomes are (1,H),(2,H),(3,H),(4,H),(5,H),(6,H),(1,T),(2,T),(3,T),(4,T),(5,T),(6,T)

Hence the total number of possible outcomes = 12

The favorable outcomes of rolling a number less than 2 and flipping tails = (1, T)

The number of favorable outcomes = 1

Hence probability = $\frac{The \ number\ of \ favorable\ outcomes}{Total\ number \ of \ outcomes}$ = $\frac{1}{12}$

The probability of rolling a number less than 2 and flipping tails = $\frac{1}{12}$

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