Question

A letter of the alphabet is chosen at a random ,then a coin is flipped.What is the probability of choosing a letter from the word MATH then getting tails

Answer 1

1/13 is the probability of choosing a letter from the word MATH then getting tails.

Step-by-step explanation:

A letter of the alphabet is chosen at a random.

The total number of alphabets = 26 letters.

Then a coin is flipped.

The total number of outcomes when a coin is flipped ⇒ Head, Tail = 2.

Now, we need to find the probability of choosing a letter from the word MATH and then getting tails.

Probability of choosing a letter from the word MATH :

P(a letter) = No.of letters in MATH / total number of alphabets.

⇒ 4/26

Probability of getting a tail when a coin is flipped :

P(a tail) = No.of tails / total outcomes.

⇒ 1/2

Probability of choosing a letter from the word MATH then getting tails :

⇒ 4/26 × 1/2

⇒ 4/52

⇒ 1/13

∴ The probability of choosing a letter from the word MATH then getting tails is 1/13.