peter throws two different dice together and finds the product of the two numbers obtained. rina throws a die and squares the number obtained. who has the better chance to get the number 25
Answers
Answer:
Rina has better chance than Peter
Step-by-step explanation:
peter throws two different dice together and finds the product of the two numbers obtained. rina throws a die and squares the number obtained. who has the better chance to get the number 25
To get 25 as product of two numbers on dice
dice has number 1 to 6
only option is to have 5 , 5 on each dice
So only favorable combination = 1
Total combination = 6 * 6 = 36
Probability of getting product 25 = 1/36
Rina to get 25 as square of number
5² = 25
so favorable outcome to get number 5 on dice = 1
Total out come = 6
Probability of getting square as 25 = 1/6
1/6 > 1/36
so Rina has better chance than Peter
To find:-
In Peter and Rina who had better chance to get the number 25 in a dice
Case -1
Peter throws two different dice to find the number whose product is 25
Number of outcomes:-36
Number of events to get 25 as product=1
Probability of getting 25 as product:-
no. of event/no. of outcomes =
Probability=1/36
Case -2
Rina throws a dice and square the number obtained to find 25
Number of outcomes =6
No. of events to get 25 as a square =1
Probability of getting 25 as a square =
No. of events/no. of outcomes
Probability =1/6
Conclusion:-
1/6 > 1/36