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Phổ biến Word Problems >

single die is rolled twice. Find the probability of rolling an odd number the first time and a number greater than 2 the second time.

Lời Giải

s in g l e d i e i s ro ll e d tw i ce . F in d t h e p ro babi l i t y o f ro ll in g an o dd n u mb er t h e f i rs t t im e an d a n u mb er g re a t er t han 2 t h e seco n d t im e .

Lời Giải

\frac{1}{3}

+1

Số thập phân

0.33333 \dots

Các bước giải pháp

Find the probability of rolling an odd number the first time:

\frac{1}{2}

Find the probability of a number greater than 2 the second time:

\frac{2}{3}

Since the events are independent, Use the formula

P (X_{1} \land X_{2} \land \dots \land X_{k}) = P (X_{1}) \cdot P (X_{2}) \cdot \dots \cdot P (X_{k})

= \frac{1}{2} \cdot \frac{2}{3}

Triệt tiêu chéo thừa số chung:

2

= \frac{1}{3}

Ví dụ phổ biến

14 is 28% of what number the quotient of the number and 11 How much would you need to deposit in an account now in sắp xếp to have 2000 in the account in 10 years? Assume the account earns 7% interest compounded monthly.You deposit 3000 in an account earning 5% interest compounded continuously. How much will you have in the account in 10 years?Aubrey opened a savings account and deposited 500.00 as principal. The account earns 13% interest, compounded quarterly. How much interest will she earn after 2 years?