Question

A coin and a die are thrown together, what is the probability that the coin falls head and dice show 3 ? Solve it.

a. 1/12
b. 5/12
c. 1/4
d. 1/2​

Answer 1

Answer:

Its d

Step-by-step explanation:

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Answer 2

The correct answer is option (a)

The probability that the coin falls head and dice show 3 = 1/12

Given:

A coin and a die are thrown together

To find:

The probability that the coin falls head and dice show 3

Solution:

Given that A coin and a die are thrown together

When the coin is thrown

The probability that the coin falls a head

= (Number of favorable outcomes) / total number of outcomes

Since the coin has 2 face the total number of outcomes = 2

Number of favorable outcomes (falling a head) = 1

The probability that the coin falls a head = 1/2

When the dice is thrown

The probability of dice show 3

= (Number of favorable outcomes) / total number of outcomes

Since the dice has 6 faces,

The total number of outcomes = 6

Number of favorable outcomes showing 3 = 1

The probability of dice show 3 = 1/6

Given that coin and a die are thrown together

⇒ Therefore,the probability that the coin falls head and dice show 3

= probability that coin falls a head × probability of dice show 3

= $\frac{1}{2} ( \frac{1}{6})$ = $\frac{1}{12}$

The probability that the coin falls head and dice show 3 = 1/12

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