Hi! Someone was helping me earlier with these but their explanation was hard to understand. Can someone ELSE help me? Thanka! :)
1.) There is a 10% chance it will rain on Saturday and a 30% chance it will rain on Sunday. What percent chance is there that it will rain on both Saturday and Sunday?
2.) In a shipment of alarm clocks, the probability that one alarm clock is defective is 0.04. Charlie selects three alarm clocks at random. If he puts each clock back with the rest of the shipment before selecting the next one, what is the probability that all three alarm clocks are defective?
3.) A builder has 8 lots available for sale.
·Six lots are greater than one acre.
·Two lots are less than one acre.
What is the probability that the next three lots sold will be greater than one acre?
4.) A cafeteria has 5 turkey sandwiches, 6 cheese sandwiches, and 4 tuna sandwiches. There are two students in line and each will take a sandwich. What is the probability that the first student takes a cheese sandwich and the next student takes a turkey sandwich? 2/15
I'm really confused with this!
Hello! I'm here to help you with your questions. Let's go through each of them and explain how to get the answer.
1.) To find the probability of both events happening, you need to multiply the individual probabilities. In this case, the probability of rain on Saturday is 10% (0.10) and the probability of rain on Sunday is 30% (0.30).
To find the probability of both events happening, you multiply 0.10 and 0.30:
0.10 * 0.30 = 0.03
So, there is a 3% chance that it will rain on both Saturday and Sunday.
2.) In this case, the probability of one alarm clock being defective is 0.04 (4%). Since Charlie selects three alarm clocks at random with replacement, the probability of each clock being defective remains the same for each selection.
To find the probability of all three alarm clocks being defective, you need to multiply the individual probabilities:
0.04 * 0.04 * 0.04 = 0.000064
So, the probability that all three alarm clocks are defective is 0.0064% (or approximately 0.000064).
3.) To find the probability that the next three lots sold will be greater than one acre, we can treat each lot as an independent event. However, we need to consider that as lots are sold, the total number of lots available changes.
Out of the 8 lots available, 6 are greater than one acre. So, for the first lot being greater than one acre, the probability is 6/8 (or 0.75). After the first lot is sold, there are now 5 lots greater than one acre out of the remaining 7 lots. So, the probability for the second lot being greater than one acre is 5/7 (or approximately 0.714). Finally, after the second lot is sold, there are 4 lots greater than one acre out of the remaining 6 lots. So, the probability for the third lot being greater than one acre is 4/6 (or 0.667).
To find the probability of all three events happening, we multiply the individual probabilities:
(6/8) * (5/7) * (4/6) = 0.357
So, the probability that the next three lots sold will be greater than one acre is approximately 0.357 (or 35.7%).
4.) The probability that the first student takes a cheese sandwich is 6/15 (as there are 6 cheese sandwiches out of a total of 15 sandwiches). After the first student takes a cheese sandwich, there are 5 cheese sandwiches left out of the remaining 14 sandwiches. So, the probability that the next student takes a turkey sandwich is 5/14.
To find the probability of both events happening, we multiply the individual probabilities:
(6/15) * (5/14) = 2/15
So, the probability that the first student takes a cheese sandwich and the next student takes a turkey sandwich is 2/15.