We use cookies to personalise content and advertisements and to analyse access to our website. Furthermore, our partners for online advertising receive pseudonymised information about your use of our website. cookie policy and privacy policy.
 
+0  
 
0
51
1
avatar

Paco uses a spinner to select a number from 1 through 5, each with equal probability. Manu uses a different spinner to select a number from 1 through 10, each with equal probability. What is the probability that the product of Manu’s number and Paco’s number is less than 30? Express your answer as a common fraction.

 Nov 4, 2019
 #1
avatar
0

There are (5+10) nCr 2 =105 outcomes and they are as follows:

 

(1, 2, 2, 2, 2, 3, 3, 3, 3, 4, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 7, 7, 8, 8, 8, 8, 8, 8, 9, 9, 9, 10, 10, 10, 10, 10, 10, 12, 12, 12, 12, 12, 12, 14, 14, 15, 15, 15, 15, 16, 16, 16, 18, 18, 18, 18, 20, 20, 20, 20, 20, 20, 21, 21, 24, 24, 24, 24, 25, 27, 27, 28, 28, 30, 30, 30, 30, 32, 32, 35, 35, 36, 36, 40, 40, 40, 40, 42, 45, 45, 48, 50, 50, 54, 56, 60, 63, 70, 72, 80, 90) = 105 outcomes

 

There are 77 numbers < 30. Therefore, the probability is:

77 / 105 = 11 / 15

 Nov 4, 2019

11 Online Users

avatar