Question

1. for problems a - b, find the probability of making the specified spins. (1 point total)

a) find the probability of spinning a letter followed by a number.
b) find the probability of spinning an a three times in a row.

1. kathleen fills two different bags with coins. in bag #1, 7 out of 15 coins are quarters. in bag #2, 11 out of 15 coins are quarters. if kathleen draws one coin from each bag, what is the probability that they are both quarters? (1 point)

a. 77/225
b. 3/5
c. 1/3
d. 2/25

Explanation:

Step1: Determine the probability of independent events

The probability of two independent events \(A\) and \(B\) occurring is \(P(A\cap B)=P(A)\times P(B)\).
For bag #1, \(P(\text{quarter}_1)=\frac{7}{15}\). For bag #2, \(P(\text{quarter}_2)=\frac{11}{15}\).

Step2: Calculate the combined probability

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Answer:

A. \(\frac{77}{225}\)