Question

A coin is tossed and a die is rolled simultaneously. What is the probability of getting a tail and a number less than 3?

Answer 1

Answer: 1/6

Step-by-step explanation:

Probability of getting heads or tail is:

P (H) = P(T) = 1/2

The probability of getting any number on the die is:

P (1) = P (2) = P(3) = P (4) = P (5) = P (6) = 1/6

The probability of getting a tail on the coin and a number less than 3 on the die is:

$P( Tails and a number less than 3 )=P( Tails ) \times P (A number less than 3) \begin{aligned}&=\frac{1}{2} \times[P(1)+P(2)] \\&=\frac{1}{2} \times\left[\frac{1}{6}+\frac{1}{6}\right] \\&=\frac{1}{6}\end{aligned}$

Therefore the required of getting tails and a number less than 3 is 1/6