Jayanti throws a pair of dice and records the product of the numbers appearing on the dice. Pihu throws 1 dice and records the squares the number that appears on it. Who has the better chance of getting the number
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Step-by-step explanation:-
Given
Jayanti throws a pair of dice and records the product of the numbers appearing on the dice. Pihu throws 1 dice and records the squares the number that appears on it. Who has the better chance of getting the number
- Let S be the event containing all possibilities that occur when Jayanti throws a pair of dice.
- So the total outcomes will be 6 x 6 = 36 outcomes.
- Therefore n(S) = 36
- Let A be the event such that Jayanti will get the product of numbers appearing on dices as 36
- Since there is only one probability (6,6) to get the product 36 we have n(A) = 1
- Therefore the probability of getting product of numbers appearing on the dice as 36 is P (A) = n(A) / n(S) = 1/36
- Now let S be the event that contains all possibilities that Pihu gets after throwing 1 dice.
- Therefore n(S’) = 6
- Let B be the event such that Pihu will get square of the number appearing on the dice as 36
- We know the square of only one possibility 6 is 36.
- Therefore n(B) = 1
- So probability of getting square of number will be
- P (B) = n(B) / n(S’) = 1/6
- Since 1/6 > 1/36,
Pihu has a better chance of getting the number 36.
Reference link will be
https://brainly.in/question/12623482
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