Question

describe two different methods of finding the answer.
for help with question 4, refer to example 2.

1. two coins were tossed a total of 200 times.

the results are shown in the graph.
find the experimental probability for
each event.
a) two heads
b) one head
c) two tails

Explanation:

Step1: Recall the formula for experimental probability

Experimental probability \(P(E)=\frac{\text{Number of times event }E\text{ occurs}}{\text{Total number of trials}}\)

Step2: Find the experimental probability for each event

a) Two heads

• The number of times two heads (0 tails) occurs is \(45\).
• Total number of trials \(n = 200\)
• \(P(\text{two heads})=\frac{45}{200}=\frac{9}{40}= 0.225\)

b) One head

• The number of times one head (1 tail) occurs is \(95\)
• \(P(\text{one head})=\frac{95}{200}=\frac{19}{40}=0.475\)

c) Two tails

• The number of times two tails (2 tails) occurs is \(60\)
• \(P(\text{two tails})=\frac{60}{200}=\frac{3}{10}=0.3\)

Answer:

a) \(0.225\)
b) \(0.475\)
c) \(0.3\)