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You toss a coin AND roll a die. What is the probability of getting a tail and a 4 on the die?

A

1\/2

B

1\/12

C

2\/3

D

3\/4

Correct Answer: 1\/12

Probability of getting a tail when a single coin is tossed =12Probability of getting 4 when a die is thrown =16Required probability =(12)×(16)= 1/12

A coin is tossed twice if the coin shows head it is tossed again but if it shows a tail then a die is tossed. If 8 possible outcomes are equally likely. Find the probability that the die shows a number greater than 4, if it is known that the first throw of the coin results in a tail

A

1\/3

B

2\/3

C

2\/5

D

4\/15

A coin is tossed twice. What is the probability of getting head on first toss and tail on second toss?

A

1/2

B

1/3

C

1/4

D

1

An aircraft with wing aft tail configuration has tail efficiency of 0.95 and tail volume ratio of horizontal tail is 0.7. Determine pitching moment coefficient slope for the tail. Given lift curve slope of tail is 4.2 per rad. Consider downwash derivative as 0.6.

A

-1.1172 per rad

B

2.45

C

234.67 per degree

D

12.788

The probability is 1/2 that a coin will turn up heads on any toss. If the coin is to be tossed three times, what is the probability that on at least one of the tosses the coin will turn up tails?

A

1/8

B

1/2

C

7/8

D

None of these

A fair coin is thrown in the air four times. If the coin lands with the head up on the first three tosses, what is the probability that the coin will land with the head up on the fourth toss ?

A

3/4

B

1/2

C

1/8

D

1/16

For each element in a set of size 2n, an unbiased coin is tossed. All the 2n coin tossed are independent. An element is chosen if the corresponding coin toss were head. The probability that exactly n elements are chosen is

A

\

B

\

C

\

D

$$\frac{1}{2}$$

When you toss a coin twice what is the probability of getting a tail in both the attempts?

A

1 / 2

B

1

C

0

D

1 / 4

An unbiased coin is tossed five times. The outcome of each toss is either a head or a tail. The probability of getting at least one head is

A

$$\frac{1}{{32}}$$

B

$$\frac{{13}}{{32}}$$

C

$$\frac{{16}}{{32}}$$

D

$$\frac{{31}}{{32}}$$

A fair six-sided die is rolled twice. What is the probability of getting 4 on the first roll and not getting 6 on the second roll ?

A

1\/36

B

5\/36

C

1\/12

D

1\/9

When you toss a coin twice, what is the probability of getting a head in both the attempts?

A

1 / 4

B

1

C

0

D

1 / 2