The chances of throwing up a number that is greater than , and in that order in throws of dices simultaneously is:

65/3888 Explanation: When two unbiased six-sided dice are rolled simultaneously, the total number of possible outcomes is given by: Let the three independent throws be represented by events , , and , respectively. We need to find the probability of all three events happening sequentially in that specific order: Step 1: Probability of getting a sum greater than in the throw ( ) The possible sums greater than are and . Let's list the favorable outcomes for each sum: Sum = 9: outcomes Sum = 10: outcomes Sum = 11: outcomes Sum = 12: outcome Step 2: Probability of getting a sum greater than in the throw ( ) Instead of counting all outcomes greater than , it is much quicker to find the outcomes where the sum is less than or equal to and subtract it from : Sum = 2: outcome Sum = 3: outcomes Sum = 4: outcomes Sum = 5:

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NIMCET 2007 — Reasoning PYQ

NIMCET | Reasoning | 2007

The chances of throwing up a number that is greater than $8$ , $5$ and $10$ in that order in $3$ throws of $2$ dices simultaneously is:

NIMCET 2007 — Reasoning PYQ

Choose the correct answer:

Explanation

Step 1: Probability of getting a sum greater than $8$ in the $1^{st}$ throw ( $P (A)$ )

Step 2: Probability of getting a sum greater than $5$ in the $2^{nd}$ throw ( $P (B)$ )

Step 3: Probability of getting a sum greater than $10$ in the $3^{rd}$ throw ( $P (C)$ )

Step 4: Calculate the Total Combined Probability

Final Answer

Explanation

Step 1: Probability of getting a sum greater than $8$ in the $1^{st}$ throw ( $P (A)$ )

Step 2: Probability of getting a sum greater than $5$ in the $2^{nd}$ throw ( $P (B)$ )

Step 3: Probability of getting a sum greater than $10$ in the $3^{rd}$ throw ( $P (C)$ )

Step 4: Calculate the Total Combined Probability

Final Answer

Choose the correct answer:

Explanation

Step 1: Probability of getting a sum greater than 8 in the 1st throw (P(A))

Step 2: Probability of getting a sum greater than 5 in the 2nd throw (P(B))

Step 3: Probability of getting a sum greater than 10 in the 3rd throw (P(C))

Step 4: Calculate the Total Combined Probability

Final Answer

Step 1: Probability of getting a sum greater than $8$ in the $1^{st}$ throw ( $P (A)$ )

Step 2: Probability of getting a sum greater than $5$ in the $2^{nd}$ throw ( $P (B)$ )

Step 3: Probability of getting a sum greater than $10$ in the $3^{rd}$ throw ( $P (C)$ )