Mathematics - Probability Question with Solution | TestHub

MathematicsProbabilityRandom Variable and its Probability DistributionMedium2 minPYQ_2019

MathematicsMediumsingle choice

A person throws two fair dice. He wins Rs. $15$ for throwing a doublet (same numbers on the two dice), wins Rs $12$ when the throw results in the sum of $9$ , and loses Rs. $6$ for any other outcome on the throw. Then the expected gain/loss (in Rs.) of the person is:

Options:

Answer:

Solution:

win Rs. $15 \to$ number of cases $= 6$
win Rs. $12 \to$ number of cases $= 4$
loss Rs. $6 \to$ number of cases $= 26$
$p$ (expected gain/loss) $= 15 \times \frac{6}{36} + 12 \times \frac{4}{36} - 6 \times \frac{26}{36} = - \frac{1}{2}$

Stream:JEESubject:MathematicsTopic:ProbabilitySubtopic:Random Variable and its Probability Distribution

⏱ 2mℹ️ Source: PYQ_2019

Doubts & Discussion

Loading discussions...