Question 17 of 27intermediate🔧 ApplyNumerical10 marks

Write the sample space and calculate the probability based on the given information.

(i)

Two coins are tossed at the same time. What is the probability of getting at least one head?

Answer

3/4

(ii)

Ten identical cards numbered 1 to 10 are placed in a box. One card is drawn at random. What is the probability of drawing a card with an even number?

Answer

1/2

(iii)

A die is rolled once. What is the probability of getting a number greater than 4?

Answer

1/3

(iv)

A bag contains 3 red balls, 2 blue balls, and 1 green ball. One ball is picked at random. What is the probability that it is not red?

Answer

1/2

(v)

Three coins are tossed simultaneously. What is the probability of getting exactly two heads?

Answer

3/8

Explanation

The textbook introduces the concepts of sample space, sample size, and events to calculate probability. For each part, we first identify the sample space S and its size n(S). Then, we identify the favorable outcomes for the given event E and its size n(E). The probability is calculated as P(E) = n(E) / n(S).