Question

A speaks the truth 3 times out of 4, B 7 times out of 10.
They both assert that a white ball has been drawn from a
bag containing balls of 6 different colors. Find is the probability
of the truth of the assertion?

Answer 1

What's your question?

Answer 2

\(\large \color{black}{\begin{align}
& \normalsize \text{ A speaks the truth 3 times out of 4, B 7 times out of 10.}\hspace{.33em}\\~\\
& \normalsize \text{ They both assert that a white ball has been drawn from a }\hspace{.33em}\\~\\
& \normalsize \text{ bag containing balls of 6 different colors. Find is the probability }\hspace{.33em}\\~\\
& \normalsize \text{ of the truth of the assertion?}\hspace{.33em}\\~\\
& a.)\ \dfrac{12}{49} \hspace{.33em}\\~\\
& b.)\ \dfrac{3}{10} \hspace{.33em}\\~\\
& c.)\ \dfrac{21}{40} \hspace{.33em}\\~\\
& d.)\ \normalsize \text{None of these} \hspace{.33em}\\~\\
\end{align}}\)

Answer 3

if you multiply across it would be c

Answer 4

It's not that simple @desmarie

Answer 5

@Jaydid

Answer 6

answer given in book is 3/4*7/10=21/40 but a guy here gives another answer 63/64

here-> https://www.quora.com/A-speaks-the-truth-3-times-out-of-4-B-7-times-out-of-10-they-both-assert-that-a-white-ball-has-been-drawn-from-a-bag-containing-6-different-colors-What-is-the-probability-of-the-truth-of-the-assertion

Answer 7

both A and B are mutually exclusive ?

Answer 8

r us sure it is d.)

Answer 9

@jayzdd