Practice Set 5.4 Algebra 10th Std Maths Part 1 Answers Chapter 5 Probability
i. Let A be the event of getting at least one head.
∴ A = {HT, TH, HH}
∴ n(A) = 3
∴ P(A) =
∴ P(A) =
ii. Let B be the event of getting no head.
∴ B = {TT}
∴ n(B) = 1
∴ P(B) =
∴ P(B) =
∴ P(A) = ; P(B) =
i. Let A be the event that the sum of the digits on the upper faces is at least 10.
∴ A = {(4, 6), (5, 5), (5, 6), (6, 4), (6, 5), (6, 6)}
∴ n(A) = 6
∴ P(A) = =
∴ P(A) =
ii. Let B be the event that the sum of the digits on the upper faces is 33.
The sum of the digits on the upper faces can be maximum 12.
∴ Event B is an impossible event.
∴ B = { }
∴ n(B) = 0
∴ P(B) = =
∴ P(B) = 0
iii. Let C be the event that the digit on the first die is greater than the digit on the second die.
C = {(2, 1), (3, 1), (3,2), (4,1), (4,2), (4, 3), (5, 1), (5,2), (5,3), (5,4), (6,1), (6,2), (6, 3), (6, 4), (6, 5),
∴ n(C) = 15
∴ P(C) = =
∴ P(C) =
∴ P(A) = ; P(B) = 0; P(C) =
i. Let A be the event that the ticket drawn shows an even number.
∴ A = {2, 4, 6, 8, 10, 12, 14}
∴ n(A) = 7
∴ P(A) =
∴ P(A) =
ii. Let B be the event that the ticket drawn shows a number which is a multiple of 5.
∴ B = {5, 10, 15}
∴ n(B) = 3
∴ P(B) = =
∴ P(B) =
∴ P(A) = ; P(B) =
ii. Let B be the event that the number formed is a multiple of 5.
∴ B = {25,35,75,95}
∴ n(B) = 4
∴ P(B) = =
∴ P(B) =
∴ P(A) = ; P(B) =
ii. Let B be the event that the card drawn is a spade.
∴ n(B) = 13
∴ P(B) = =
∴ P(B) =
∴ P(A) = ; P(B) =