7 − 20 Probability by Counting These exercises involve finding probabilities by counting.

An experiment consists of tossing a coin and rolling a die.

(a) Find the sample space.

(b) Find the probability of getting heads and an even number.

(c) Find the probability of getting heads and a number greater than 4 .

(d) Find the probability of getting tails and an odd number.

(a)

To find:

The sample space.

Given:

An experiment consists of tossing a coin and rolling a die.

Calculation:

A coin has two faces and a die has 6 faces.

So, the sample space (S) is,

S={(H,1),(H,2),(H,3),(H,4),(H,5),(H,6),(T,1),(T,2),(T,3),(T,4),(T,5),(T,6)}

(b)

To find:

The probability of getting heads and an even number.

(c)

To find:

The probability of getting heads and a number greater than 4.

(d)

To find:

The probability of getting tails and an odd number.