Answer:
1393920
Step-by-step explanation:
Answer:
The gambler's expected value if he makes the bet is $45.
Step-by-step explanation:
Expected value:
15% probability of a profit of $2000.
100 - 15 = 85% probability of having to pay $300, that is, a loss of $300.
The expected value is each outcome multiplied by it's probability, so:

The gambler's expected value if he makes the bet is $45.
The answer is -7 over 4 -7/4
Let's simplify step-by-step.
<span><span>0.2<span>(<span><span>3b</span>−<span>15c</span></span>)</span></span>+<span>6c
</span></span>Distribute:<span>=<span><span><span><span>(0.2)</span><span>(<span>3b</span>)</span></span>+<span><span>(0.2)</span><span>(<span>−<span>15c</span></span>)</span></span></span>+<span>6c
</span></span></span><span>=<span><span><span><span>0.6b</span>+</span>−<span>3c</span></span>+<span>6c
</span></span></span>Combine Like Terms:
<span>=<span><span><span>0.6b</span>+<span>−<span>3c</span></span></span>+<span>6c
</span></span></span><span>=<span><span>(<span>0.6b</span>)</span>+<span>(<span><span>−<span>3c</span></span>+<span>6c</span></span>)
</span></span></span><span>=<span><span>0.6b</span>+<span>3<span>c</span></span></span></span>