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Answer:
1) 0.375
2) 0.375
3) 0.5
4) 0.5
5) 0.875
6) 0.5
Step-by-step explanation:
We are given the following in the question:
Sample space, S = {HHH, HHT, HTH, HTT, THH, THT, TTH, TTT}.
1. The probability of getting exactly one tail
P(Exactly one tail)
Favorable outcomes ={HHT, HTH, THH}
2. The probability of getting exactly two tails
P(Exactly two tail)
Favorable outcomes ={ HTT,THT, TTH}
3. The probability of getting a head on the first toss
P(head on the first toss)
Favorable outcomes ={HHH, HHT, HTH, HTT}
4. The probability of getting a tail on the last toss
P(tail on the last toss)
Favorable outcomes ={HHT,HTT,THT,TTT}
5. The probability of getting at least one head
P(at least one head)
Favorable outcomes ={HHH, HHT, HTH, HTT, THH, THT, TTH}
6. The probability of getting at least two heads
P(Exactly one tail)
Favorable outcomes ={HHH, HHT, HTH,THH}
Answer:
1)
2)
3)
Step-by-step explanation:
1) Length of a ruler = r
Height of Shiela = s
According to the question ,
5 times the length of a ruler increased by 2 .
⇒
Also , 5r + 2 is less than height of Shiela.
Hence , the linear inequality is ⇒
2) Let the cost of each t-shirt be 't' & cost of each short be 's'.
⇒ Cost of dozen of t-shirts = 12t and Cost of half a dozen shorts = 6s
According to the question ,
12t & 6s is not greater than Php 960.
Hence the linear inequality is ⇒
3) Let the number of Php 100-peso tickets be 'p' and let the number of Php 50-peso tickets be 'q'.
According to the question ,
Difference of p & q is not less than 30
Hence the linear inequality is ⇒