Below, H = heads, T = tails, and 1, 2, 3 are the number outcomes of the spinner. For example, H1 means heads on the coin toss followed by 1 on the spinner.
If heads appears, a spinner that can land on any number from 1 to 3 is spun.
This gives possible outcomes: H1, H2, H3
If tails appears, a second coin is tossed
This gives possible outcomes: TH, TT
All outcomes are: H1, H2, H3, TH, TT
You were on the right track. Here are two ways to go about it.
• By definition of conditional probability,
Pr[A | B] = Pr[A and B] / Pr[B]
Out of the total 100 participants in the survey, there are 18 people that both have a positive attitude and are over 35, so
Pr[positive and over 35] = 18/100
Out of the 100 pariticipants, 40 are over 35, so
Pr[over 35] = 40/100
Then the conditional probability you want is (18/100) / (40/100) = 18/40 = 9/20.
• There are 40 people over 35 in the survey. You want the probability that someone randomly chosen from this group has a positive attitude, of which there are 18. Hence the probability is 18/40 = 9/20.
Dear Sunshine76, first add 1/6+1/4+1/3=3/4. Then, find 3/4 of 96 to get 24 students in 3rd grade.
Answer:
x = 1
Step-by-step explanation: