I have a spinner that lands on 1 with a probability of 1/10 , 2 with a probability of 2/10 , 3 with a probability of 3/10 , and 4 with a probability of 4/10 . If Phil and Sarah both spin the spinner, what is the probability that they get the same number?
Probability that they both spin a "1" = (1/10)(1/10) = 1/100
Probability that they both spin a "2" = (2/10)(2/10) = 4/100
Probability that they botrh spin a "3" = (3/10)(3/10) = 9/100
Probability that they both spin a "4" = (4/10)(4/10) = 16/100
Summing these.....the total probability is [1 + 4 + 9 + 16] / 100 = 30 / 100 = 3 / 10